what is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?

Answer:

y=8-2×8(the value of x)

y=8-16

y=-8

Answer:

-8

Step-by-step explanation:

Substitute:

y = 8 - 2(8)

multiply:

y = 8 - 16

subtract:

y = -8

The person above me should get credit, they answered first

Your Welcome!

Answer:

i think a.... sorry if im wrong

Step-by-step explanation:

Answer:

  Ron makes more than $35 by selling 5 portraits

Step-by-step explanation:

Ron's costs for 5 portraits are ...

  mall fee + material cost = $22 +3.25(5) = $38.25

Ron's revenue from the sale of 5 paintings is ...

  $15.50(5) = $77.50

So, his profit from the sale of 5 paintings is ...

  profit = revenue -cost = $77.50 -38.25 = $39.25 . . . more than $35

We agree Ron will earn $35 or more by selling 5 portraits.

Answer:

Step-by-step explanation:

5x - c = k

Add c  to each side

5x - c+c = k+c

5x = (k+c)

Divide each side by 5

5x/5 = (k+c)/5

x = (k+c)/5

Answer:

x=(k+c)/5

Step-by-step explanation:

5x-c=k (Original Equation)

5x-c+c=k+c (Addition Property of Equality)

5x=k+c (Simplify)

x=(k+c)/5 (Division Property of Equality)

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

Answer:

1

5

3

in order

Step-by-step explanation:

First, note that the degree of a polynomial is the value of the highest exponent in the polynomial

There will be as many solutions as there are degrees

1.  - 6x − 9y = 2 has degree 1 since x == x¹ so 1 solution

2. \(2x^5-x^4+2x^3-6x^2+2x\:+\:4=0\) has degree 5 so 5 solutions

3. \(-4x^3 - 10x^2+7x+5\) has degree 3 so 3 solutions

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

For more such questions on equation.

https://brainly.com/question/16949303

#SPJ11

Answer:

Step-by-step explanation:

You can view 3x3 as 3+3+3.  3x4 is 3+3+3+3.  3x4 is also 4+4+4.  And so forth.

So, you can see how 3+3 is the same as 3x2.  

Hopefully, you can also see that 2x2 is 2+2 for the same reason.  It becomes trivial.

Answer:

2+2=4is not more then 2X4

Step-by-step explanation:

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

Answer:

The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

62% of those people get some relief from taking ibuprofen (true proportion).

This means that \(p = 0.62\)

Sample of 100

This means that \(n = 100\)

A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

By the Central Limit Theorem, it is approximately normal with

Mean \(\mu = p = 0.62\)

Standard deviation \(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485\)

Two plants will never be of the same height.

Given, the height of an experimental plant after x days can be

represented by the formula 3(4x + 2).

The height of a second plant can be represented by the formula 6(2x + 2).

We have to state that will the two plants ever be of the same height,

Let assume that, the height of two plants be same,

So, 3(4x + 2) = 6(2x + 12)

On simplifying, we get

12x + 6 = 12x + 72

On subtracting 12x from both the sides, we get

12x + 6 - 12x = 12x + 72 - 12x

6 ≠ 72

It is an absurd condition, so we do not have any solution for x.

So, the two plants will never be of the same height.

Hence, two plants will never be of the same height.

Learn more about Linear Equations here https://brainly.com/question/24085666

#SPJ9

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

i am not understand anway l am going to tray

f(x) =-x-1

so,f(-1) = -(-1) -1

f(-1) = 0

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

Step-by-step explanation:

Given

\(slope(m) = 5\)

y-intercept (c) = 12

Now the equation of the line is

y = mx + c

y = 5x + 12

Hope it will help :)❤

count the number of triangles,calculate the area then multiply by the no of triangles and again back to rectangle

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

To learn more about the correlation refer to:

https://brainly.com/question/6563788

#SPJ1

Answer:

2/16 and 8/64 is equivalent to 1/8

Answer:

0.125

Step-by-step explanation:

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

For more such questions on class width visit:

https://brainly.com/question/30459609

#SPJ8

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with right angle triangle having hypotenuse ( longest side ) = c , perpendicular = 5 and base = 12 . And we are asked to find the length of missing side i.e. hypotenuse and if necessary we have to round it off to 2 decimal places.

We can find the missing side by using Pythagorean Theorem . It states that sum of squares of perpendicular and base is equal to square in a right angle triangle that is ,

\( \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}\)

Where ,

SOLUTION : -

Substituting value of hypotenuse as c , perpendicular as 5 and base as 12 in formula :

\( \quad \longmapsto \qquad \: (c) {}^{2} = (5) {}^{2} + (12) {}^{2} \)

Squaring 5 and 12 :

\( \quad \longmapsto \qquad \:(c) {}^{2} = 25 + 144\)

Adding 25 and 144 :

\( \quad \longmapsto \qquad \:(c) {}^{2} = 169\)

Applying square root to both sides :

\( \quad \longmapsto \qquad \: \sqrt{(c) {}^{2} } = \sqrt{169} \)

On simplifying , We get :

\( \quad \longmapsto \qquad \orange{\underline{\boxed{\frak{c = 13}}}} \quad \bigstar\)

Verifying : -

Now we are checking our answer by putting all values in formula . So ,

Therefore , our answer is correct .

Answer :

\( \: \)

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

\(\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\\)

Here,

\( \: \)

So, substituting the values in the formula we get :

\(\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (12) {}^{2} + (5 {)}^{2} }}} \\ \)

\({\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 144 + 25 }}} \\ \)

\({\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 169 }}} \\ \)

\({\longrightarrow \pmb{\sf {\qquad c = \sqrt{169} }}} \\\)

\({\longrightarrow \pmb{\sf {\qquad c= 13 }}}\\ \\\)

Therefore,