Write a linear equation that passes through the given two points.

(0, 1) and (5,3)

Answers

Answer 1

Y= 2/5x +1

Using the first point, you find the Y-intercept (y=mx+1)

Then plug the coordinates into the equation y2-y1/x2-x1

(y=2/5x+1). Hope this helps :))

Answer 2

Answer:

y = \(\frac{2}{5}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1 ) and (x₂, y₂ ) = (5, 3 )

m = \(\frac{3-1}{5-0}\) = \(\frac{2}{5}\)

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = \(\frac{2}{5}\) x + 1 ← equation of line


Related Questions

consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?

Answers

The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

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Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to

Complete the grouped relative frequency distribution for the data. Write each relative frequency as a decimal rounded to the nearest hundredth.( note that we are using a class width of 5)

Complete the grouped relative frequency distribution for the data. Write each relative frequency as a

Answers

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario. The formula is given to be:

\(RF=\frac{f}{n}\)

where f is the number of times the data occurred and n is the total number of observations.

We have the frequency of the individual groups as shown below:

\(\begin{gathered} 1\text{ to }5\Rightarrow3 \\ 6\text{ to }10\Rightarrow8 \\ 11\text{ to }15\Rightarrow3 \\ 16\text{ to }20\Rightarrow5 \end{gathered}\)

The total number of observations is 19.

Therefore, the relative frequencies are calculated below:

\(\begin{gathered} 1\text{ to }5\Rightarrow\frac{3}{19}=0.16 \\ 6\text{ to }10\Rightarrow\frac{8}{19}=0.42 \\ 11\text{ to }15\Rightarrow\frac{3}{19}=0.16 \\ 16\text{ to }20\Rightarrow\frac{5}{19}=0.26 \end{gathered}\)

ANSWER

\(\begin{gathered} 1\text{ to }5\Rightarrow0.16 \\ 6\text{ to }10\Rightarrow0.42 \\ 11\text{ to }15\Rightarrow0.16 \\ 16\text{ to }20\Rightarrow0.26 \end{gathered}\)

T

PLS HELP?!??!
Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.

Answers

Answer:

ladder length = 10 feet

Step-by-step explanation:

using the Pythagorean theorem:

8² + 6² = length²

64 + 36 = length²

length² = 100

length = 10 feet

Suppose the annual interest rate is 7.5% and the interest is compounded annually. How much will an investment of $1,000 be worth after 3 years?

Answers

An investment of $1,000 at an annual interest rate of 7.5%, compounded annually, will be worth $1,232.28 after 3 years.

What is value?

Value is a term used to describe the worth of something, either in terms of money, or in terms of importance or usefulness. Value can be determined in terms of the amount of money something is worth, or the level of importance or usefulness it has to someone. When something has a high value, it means that it is worth a lot of money or has a high level of importance or usefulness.

The value of an investment of $1,000 after 3 years at an annual interest rate of 7.5%, compounded annually, can be calculated using the following formula:

Future Value (FV) = Present Value (PV) × (1 + r)ⁿ

Where PV is the present value of the investment ($1,000 in this case), r is the annual interest rate (7.5%) and n is the number of years (3).

Using this formula, we can calculate the future value of the investment after 3 years as follows:

FV = $1,000 × (1 + 0.075)³

FV = $1,000 × 1.23228

FV = $1,232.28

Therefore, an investment of $1,000 at an annual interest rate of 7.5%, compounded annually, will be worth $1,232.28 after 3 years.

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Find the yy-intercept of each line defined below and compare their values.

Find the yy-intercept of each line defined below and compare their values.
Find the yy-intercept of each line defined below and compare their values.
Find the yy-intercept of each line defined below and compare their values.

Answers

The y intercept of the line A is 6 and the y intercept of the line B is -2 and the equation of line B is y = x - 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -3x + 6   be equation (1)

Now , the equation of line is is expressed as y = mx + b where m is the slope and b is the y-intercept

So , the y intercept of the line A is b = 6

For the equation of line B , we get

Let the first point be P ( -1 , -3 )

Let the second point be Q ( 0 , -2 )

And , the slope of the line is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - ( -3 ) ) / 0 - ( -1 )

On simplifying the equation , we get

Slope m = 1/1 = 1

And , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -3 ) = 1 ( x - ( -1 ) )

On simplifying the equation , we get

y + 3 = x + 1

Subtracting 3 on both sides of the equation , we get

y = x - 2

Hence , the equation of line B is y = x - 2 and the y intercept is -2

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The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?

Answers

Answer:

\(39.8^{\circ} C\)

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

\(t(h)=10cos(15h-10)^{\circ}+30\)

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

\(t(0)=10cos(15(0)-10)+30\)

\(t(0)=10cos(-10)+30\)

\(t(0)=39.8^{\circ} C\)

Hence, the temperature in Elma on October 1=\(39.8^{\circ} C\)

7. Write the unknown value that makes this
statement true:
25% of is 10

Answers

The answer is 40, since 25 is a quarter, 10 is one fourth of 40

Answer: 40

Step-by-step explanation:

25/100 x ? = 10

multiply both sides by 100/25

x= 10 x 100/25

x=10

PLEASE HURRY I WILL DO ANYTHING (not anything but give brain list)



Compare which is better the 50% one or this one. Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain.

Answers

The cost of the sheets is less for the second example, the second example is the better deal.

Consider the first example:

Here, A brand of sheets is on sale for “Buy one get one at 50% off”. If each sheet costs $18.00.

So, the value of the first sheet will be $18,

And since the other sheet is at 50% off .

That is it will be half of the original value

= 50/100 * 18

=9

Therefore, the cost of two sheets

=$18 + $9

= $27.

So, Six sheets will cost

=$27+$27+$27

= $81

Cost of six sheets will be $81

Now, consider the second example

In the second example sheets are 30% off.

So, 30% of 18

= $6.

Subtract that value from 18 and you will get $12.

So, cost of one sheet =  $12.

cost of 6 sheet

=  $12×6

= $72  

In the first example, Six sheets costs $81, while in the second example six sheets cost $72.

Since the cost is less for the second example. So, the second example is the better deal.

Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain

Answers

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

PLZ HELP ASAP
The circle is centered at the point (4,5), and the length of its radius is 3. what is teh equation of the circle?

a) (x-4)^2 + (y-5)^2 = 9

b) (x+4)^2 + (y+5)^2 = 3

c) (x-5)^2 + (y-4)^2 = 9

d) (x^2-4) + (y^2-5) = 3^2

Answers

Answer:

The answer is C.

Step-by-step explanation:

Solve the given differential equation by separation of variables. dy dx = e4x 5y

Answers

The solution to the given differential equation \(\frac{dy}{dx} = e^{4x+5y}\) is , \(\frac{e^{-5y}}{-5}=\frac{e^{4x}}{4} +c\), where c is constant of integration.

For given question,

We have been given a differential equation \(\frac{dy}{dx} = e^{4x+5y}\)

We know that for any real number a, m, n,

\(a^{m + n} = a^m \times a^n\)

⇒ dy/dx = \(e^{4x}\) × \(e^{5y}\)

Separating the variables (x and its differential in one side and y and its differential in another side )

⇒ \(\frac{1}{e^{5y}}\) dy = \(e^{4x}\) dx

⇒ \(e^{-5y}\) dy = \(e^{4x}\) dx

Integrating on both the sides,

⇒ \(\int e^{-5y}\) dy = \(\int e^{4x}\) dx

We know that, \(\int e^{ax}\, dx=\frac{e^{ax}}{a} +C\)

⇒ \(\int e^{4x}\, dx=\frac{e^{4x}}{4} +C\)

and \(\int e^{-5y}\, dy=\frac{e^{-5y}}{-5} +C\)

So the solution is, \(\frac{e^{-5y}}{-5}=\frac{e^{4x}}{4} +c\), where c is constant of integration.

Therefore, the solution to the given differential equation \(\frac{dy}{dx} = e^{4x+5y}\) is , \(\frac{e^{-5y}}{-5}=\frac{e^{4x}}{4} +c\), where c is constant of integration.

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3 divided by x = 6

What is x?

3 divided by x = 6What is x?

Answers

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

3 ÷ x = 6

Step 2: Solve for x

[Multiplication Property of Equality] Multiply x on both sides:                      3 = 6x[Division Property of Equality] Divide 6 on both sides:                                 3/6 = xSimplify:                                                                                                             1/2 = xRewrite:                                                                                                             x = 1/2



Compare and contrast Theorem 7.9 and the Triangle Angle Bisector Theorem.

Answers

Theorem 7.9 states that if a line is drawn parallel to one side of a triangle, then it divides the other two sides proportionally. On the other hand, the Triangle Angle Bisector Theorem states that if a line bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the adjacent sides.



Now, let's compare and contrast these two theorems.

Both Theorem 7.9 and the Triangle Angle Bisector Theorem involve lines that intersect a triangle. However, they differ in terms of the type of line and the property they describe.

Theorem 7.9 deals with a line that is parallel to one side of the triangle, while the Triangle Angle Bisector Theorem deals with a line that bisects an angle of the triangle.

In terms of the property they describe, Theorem 7.9 states that the line divides the other two sides proportionally. In contrast, the Triangle Angle Bisector Theorem states that the line divides the opposite side into segments that are proportional to the adjacent sides.

To summarize, Theorem 7.9 deals with a line that is parallel to one side of a triangle and divides the other two sides proportionally. The Triangle Angle Bisector Theorem deals with a line that bisects an angle of a triangle and divides the opposite side into segments that are proportional to the adjacent sides.

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what value of x makes this equation true?

what value of x makes this equation true?

Answers

Answer:

x= -6

Step-by-step explanation:

-8=x-2

add 2 on both sides

-8+2=x

-6=x

x=-6

Answer:

_ 6= x

Step-by-step explanation:

this is because you have to ADD 2 to both sides

How can you multiply a letter

Answers

Answer:you can multiple a letter only by its self not other letters so you can do x times x which is 2x but you can’t do x times y.

Step-by-step explanation:

In a normal distribution, what z-score cuts off the top 90% of the distribution? Z=-0.58 , Z=-1.28 ,Z=+0.58 ,Z=+1.28

Answers

IN a normal distribution, what z-score cuts off the top 90% of the distribution the z-score that cuts off the top 90% of the distribution is Z = +1.28.

In a normal distribution, the z-score represents the number of standard deviations a data point is away from the mean. The area under the normal curve can be calculated using z-scores. To find the z-score that cuts off the top 90% of the distribution, we need to find the z-score corresponding to an area of 0.90.

Using standard normal distribution tables or a calculator, we can find that the z-score associated with an area of 0.90 is approximately +1.28. This means that the value at +1.28 standard deviations above the mean marks the cutoff point for the top 90% of the distribution. Any value beyond this z-score represents the upper 10% of the distribution.

Therefore, the correct answer is Z = +1.28, as this is the z-score that cuts off the top 90% of the distribution in a normal distribution.

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It is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. If there are 15 students in the class, what is the probability that the first 2 presentations will be by Mila and Sara, in that order

Answers

The probability of Mila and Sara presenting first in that specific order can be calculated by dividing the favorable outcomes by the total number of possible outcomes. In this case, the probability is 1/105.

To determine the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes. Since the order matters in this scenario, we will use the concept of permutations. There are 15 students in the class, so the total number of possible outcomes is the number of ways to arrange 15 students, which is denoted by 15!.

For the first presentation, there is only one specific student, Mila, who needs to present first. Therefore, there is 1 way to arrange the first presentation. After Mila presents, there are 14 students left, and Sara needs to present second. So there is 1 way to arrange the second presentation as well. The remaining 13 students can be arranged in 13! ways.

To calculate the probability, we divide the number of favorable outcomes (1 * 1 * 13!) by the total number of possible outcomes (15!). Thus, the probability of Mila and Sara presenting first in that specific order is 1/105.

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In a circle with radius 4.5, an angle measuring 1 radians intercepts an arc. Find the length of the arc to the nearest 10th.

Answers

The length of the arc is approximately 4.5 to the nearest 10th.

How to solve for the length of the arc

To find the length of the arc intercepted by an angle in a circle, we can use the formula:

Arc length = radius × angle (in radians)

In this case, the radius is 4.5, and the angle is 1 radian. So, we can calculate the arc length as follows:

Arc length = 4.5 × 1 ≈ 4.5

Therefore, the length of the arc is approximately 4.5 to the nearest 10th.

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Write the equation of the line which has a slope of and passes through (8,1). Write the answer in slope-intercept
form.

Answers

Answer:

8o88uiuuzjjiuuuoooooöoooo7nhuj

15 points!
Solve n = 2xy-1/zy for x

Answers

This is what I got I hope it helps
15 points! Solve n = 2xy-1/zy for x

Binders Company has total fixed costs of $500,000. Their sales price is $50 per unit and variable costs are $15 per unit. What is Binder's break-even volume in units?
14,286 $50 - $15 = $35 $500,000 / $35 = $14,285.7

Answers

The break-even volume for Binders Company is 14,285.7 units.

Breakeven sales volume is the amount of your product that you will need to produce and sell to cover total costs of production. A key concept of this formula is the Contributions Margin.

The break-even volume for Binders Company can be found by using the formula:

Break-even volume = Total fixed costs / (Sales price - Variable costs).

In this case, the total fixed costs are $500,000, the sales price is $50 per unit, and the variable costs are $15 per unit. Plugging these values into the formula, we get:

Break-even volume = $500,000 / ($50 - $15) = $500,000 / $35 = 14,285.7

This means that they need to sell 14,285.7 units in order to cover their fixed costs and start making a profit.

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$131,701. 32 is what percent of $790,207. 91?

Answers

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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2 1 Find the equation of the line that passes through the point (-4,16) and is perpendicular to the line y =
\( \frac{2}{5}x - \frac{1}{5} \)
the equation using the slope-intercept form. Write the equation using slope intercept form​

Answers

Answer: Equation using slope intercept from y= -(5/2)x +26

Step-by-step explanation:

Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).

The line given is y=(2/5)x-(1/5)

Which we can rewrite in y= mx+b form as

y=(2/5)x-(1/5)

So slope of this line is (2/5)

A line perpendicular will have slope = -(5/2) ,  Which is (1/m)

Equation of new line will be

y = -(5/2)x +b

Now we need to find b

Plug in Point (-4,16)

Replace with the (-4,16) values

16 = (5/2) (-4) +b

solve it, 16=(-10)+b

16+10=b

b=26

Equation using slope intercept from y= -(5/2)x +26

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PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE

PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE

Answers

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

(0.06) · (0.154)

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

0.06 → 2 digits0.154 → 3 digits

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

6 ÷ 100 = 0.06154 ÷ 1000 = 0.154

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

0.1 → 1 digit0.01 → 2 digits

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

PLEASE HURRY IM TIMED WILL MARK BRAINLEST LOTS OF POINS
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is –10 gal/min.
The flow rate of the large tank is –10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is –20 gal/min.
The flow rate of the large tank is –20 gal/min, and the flow rate of the small tank is 20 gal/min.

Answers

Answer? the answer is A

Step-by-step explanation:

is A

The central angle of arc ST is 70 degrees. What is the measure of an inscribed
angle whose endpoints are points S and T?

Answers

Answer:

35

Step-by-step explanation:

The measure of an inscribed angle whose endpoints are points S and T will be 35°.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

The central angle of arc ST is 70°.

The measure of an inscribed angle whose endpoints are points S and T is given by the half of the central angle of arc ST. Then we have

Inscribed angle = 70° / 2

Inscribed angle = 35°

The measure of an inscribed angle whose endpoints are points S and T will be 35°.

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a student conducting a research study was told by her professor to use a scatterplot in conjunction with calculating the correlation coefficient. she discovered that the data points clustered along a straight line; this means that: group of answer choices

Answers

This means that a linear relationship exists among the variables.

When the data points on a scatterplot cluster along a straight line, it indicates that there is a linear relationship between the two variables being plotted.

The scatterplot visually shows that as one variable increases or decreases, the other variable also increases or decreases in a proportional manner, following a straight-line pattern.

The correlation coefficient is an estimation of the strength and direction of the linear relationship between two variables. A positive correlation coefficient indicates that as one variable increases, the other variable also increases, while a negative correlation coefficient indicates that as one variable increases, the other decreases.

The magnitude of the coefficient implies the strength of the relationship, with a value of 1 showing a perfect positive correlation and a value of -1 showing a perfect negative correlation.

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--The given question is incomplete; the complete question is

"A student conducting a research study was told by her professor to use a scatterplot in conjunction with calculating the correlation coefficient. She discovered that the data points clustered along a straight line; this means that:  

A. The student cannot determine if a relationship exists.

B. No relationship exists between variables.

C. A nonlinear relationship exists among the variables.

D. A linear relationship exists among the variables."--

What is the area of the trapezoid shown? The figure is not drawn to scale.

284.31 in.²
303.75 in.²
568.62 in.²
607.5 in.2

What is the area of the trapezoid shown? The figure is not drawn to scale.284.31 in.303.75 in.568.62

Answers

The area of the trapezoid is 284.31 square inches

How to determine the area?

The area of a trapezoid is:

Area = 0.5 * (Sum of parallel sides) * height

Using the given figure, we have:

Area = 0.5 * (17 + 31.6) * 11.7

Evaluate

Area = 284.31

Hence, the area of the trapezoid is 284.31 square inches

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=
5
9
(


32
)

The equation above shows how temperature

, measured in degrees Fahrenheit, relates to a temperature

, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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=59(32)The equation above shows how temperature , measured in degrees Fahrenheit, relates to a temperature

Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
(a – 3)(a2 + 2a – 6)



help please

Answers

Hello,

Why "Multiply the polynomial by distribution"  ?

It's s t u p i d, you compliquate the equation.

In order to find the roots of P(a)=(a-3)(a²+2a-6)=0

a²+2a-6

=(a²+2a+1)-7

=(a+1)²-7

=(a-√7)(a+√7)

P(a)=(a-3)(a-√7)(a+√7)

Roots are 3,√7 and -√7

(If i have well understood the question , sorry if not)

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