What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

<95141404393>

The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

Read more about domain at

https://brainly.com/question/27910766

#SPJ1

Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

$155

Step-by-step explanation:

If the TV costs $985 and Jasper pays 6 * $190 = 1190 then Jasper pays $1140 - $985 = $155 in interest.

Answer:

155

Step-by-step explanation:

190

×6=1140-985=155

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

To know more about mean follow

https://brainly.com/question/968894

#SPJ1

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

-200

Step-by-step explanation:

So the balloon payment six years from now will be approximately $24,612.09.

(P, R, and T) / 100 is the SI unit.

In this case, SI stands for Straightforward Interest. P is the initial investment or loan amount, and R is the interest rate.

To find the amount of the balloon payment six years from now, we can use the formula for the present value of a series of payments:

PV = PMT x (1 - (1 + r/n)^(-nt)) / (r/n)

where PV is the present value of the payments, PMT is the monthly payment, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the total number of years for the loan.

In this case, we have:

PMT = $1,300 (paid for 5 years)

r = 0.05 (5% APR)

n = 12 (monthly compounding)

t = 6 (total loan term, including the first year with no payments)

To calculate the present value of the payments, we first need to find the present value of the $93,500 loan, one year from now, when the payments begin. This is equivalent to finding the future value of the loan now, and then discounting it back one year using the interest rate.

The future value of the loan after one year is:

FV = $93,500 x (1 + r)¹ = $98,175.00

The present value of this future amount, discounted back one year at an interest rate of 5%, is:

PV = $98,175.00 / (1 + r)¹ = $93,500.

So the present value of the loan one year from now, when the payments begin, is approximately $93,500.

Using this present value as the principal amount for the remaining 5 years of payments, we can calculate the balloon payment using the present value formula above:

PV = PMT x (1 - (1 + r/n)^(-nt)) / (r/n)

PV = $1,300 x (1 - (1 + 0.05/12)⁻⁶⁰) / (0.05/12)

PV = $68,887.91

Therefore, the balloon payment six years from now will be the remaining principal on the loan after five years of payments, which is:

Balloon payment = $93,500 - $68,887.91 = $24,612.09.

So the balloon payment six years from now will be approximately $24,612.09.

To know more about interest rate visit:

https://brainly.com/question/13324776

#SPJ1

Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

Answer: 20,085

Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.

                               I hope I got this right and if I did it right.

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

Learn more on equations of conic sections here: https://brainly.com/question/30989935

#SPJ1

The scale factor of the figure on the left to the figure on the right with surface areas of 100 ft² and 49 ft², respectively, is 2.04.

The scale factor is the ratio of one figure compared to another figure or object that is similar.

We can determine the scale factor by dividing the bigger figure by the smaller figure.

The surface area of the figure on the left = 100 ft²

The surface area of the figure on the right = 49 ft²

The scale factor of the left figure to the right figure = 2.04 (100 ÷ 49)

Learn more about the scale factor at https://brainly.com/question/28339205.

#SPJ1

The wheel will cover a distance of approximately 7.5 meters.

The circumference of a circle can be calculated using the formula:

Circumference = 2 * pi * radius

Given that the outside of the wheel is 63 cm, which represents the circumference, we can solve for the radius:

Circumference = 2 * 3.14 * radius

63 = 6.28 * radius

radius = 63 / 6.28

radius ≈ 10.03 cm

Now, to convert the distance to meters, we divide the radius by 100 to convert it to meters:

radius ≈ 10.03 / 100

radius ≈ 0.1003 meters

The distance covered by the wheel in one revolution is equal to the circumference:

Distance per revolution = 2 * 3.14 * radius

Distance per revolution ≈ 2 * 3.14 * 0.1003

Distance per revolution ≈ 0.6285 meters

To find the total distance covered in 12 revolutions, we multiply the distance per revolution by the number of revolutions:

Total distance = Distance per revolution * Number of revolutions

Total distance ≈ 0.6285 * 12

Total distance ≈ 7.542 meters (rounded to 1 decimal place)

Therefore, the wheel will cover a distance of approximately 7.5 meters.

Learn more about circumference at https://brainly.com/question/20489969

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

               x^2

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

2x + 1  /  2x^3     -     x^2    +      x      +    1

               2x^3    +    x^2

              -----------------------

                                    0 + x + 1

                                        x + 1

The quotient is  x^2 + ------------

                                       2x + 1

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

Answer:

lol the is no equation there to solve

Answer:

6a - 2

Step-by-step explanation:

4 - 3(-2a + 2)

4 + 6a - 6

6a - 2

Answer:

D is not the correct sentence

Step-by-step explanation:

1/4 is closer to 1 than 1/9 is.

Answer:

6\(\sqrt{17}\) or 24.738634

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.

The picture shows the Pythagorean theorem being used to find AB and AD.

AB = \(\sqrt{17}\)

AD = \(\sqrt{68}\)

Now we can find the perimeter

2(\(\sqrt{17}\)) + 2(\(\sqrt{68}\)) = 6\(\sqrt{17}\)

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

\(\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}\)

Step-by-step explanation:

Given the expression

\(\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}\)

\(\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}\)

\(=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}\)

\(\mathrm{Cancel\:the\:common\:factor:}\:x\)

\(=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}\)

∵ As factor  \(\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)\)

so the expression becomes

\(=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}\)

∵ As factor \(2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)\)

so the expression becomes

\(=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}\)

\(\mathrm{Cancel\:the\:common\:factor:}\:x+5\)

\(=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}\)

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

\(\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}\)

Answer:

1/64

Step-by-step explanation:

if f(x)=(1/4)^x, then F(3) is 1/64

Step-by-step explanation:

x- 8=-6

x= -6+8

x=2

hope it helps

Answer x=2

Step-by-step explanation:

To Prove :

a×(b+c) = a×b + a×c

Solution :

Solving L.H.S. we get :

\(a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}\)

Solving R.H.S. we get :

\(a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}\)

Since, L.H.S = R.H.S

Therefore, the given equation is correct.

Answer:

ok i have this same question so what you are going to take the 3 and just maove it to the side and then you fail

Step-by-step explanation:

rusty earned $83 mowing lawns last week. if he put $5 bills in the offering at church about what percent did he give?​

we know that

In this problem

$83 represent 100%

so

applying proportion

83/100=5/x

solve for x

x=100*5/83

x=6.02%

therefore

Answer:

AC=18

Step-by-step explanation:

Let's look at the smaller triangle first. Side AB is 2.5, side BC is 3.5 and side AC is 4.5. Now, looking at the larger triangle, we see that side AB is 10, side BC is 14 and side AC is unknown.

So, how do we find side AC?

First, let's take a look at the other sides available to us—how about AB? On the smaller triangle, AB=2.5, and on the larger triangle AB=10. So, what's their relation?

Well, let's first divide the two by each other: 10/2.5, of which gets us 4. Now, this in itself gives us answer, but let's just double check to be sure. So, taking side BC on the smaller triangle, 3.5, and on the larger triangle, 14, we then divide the two again. 14/3.5 and- look at that! We get 4 again again.

This tells us that 4 is then our multiplier, so we can write the equation as follows: 4.5 (of which we get from the smaller triangle) *4=?. So, with the equation 4.5*4, we get 18 as our answer for ?, or simply the unknown side "a".

step 1

Verify if the relationship is a direct variation

The equation of a direct variation is

y=Kx

where

K is a constant of proportionality

K=y/x

For the ordered pair (3,9) --------> k=9/3=3

(9,27) ----------> k=27/9=3

(13,39) ----------> k=39/13=3

(20,60) -----> k=60/20=3

The value of K is the same for all ordered pairs

that means

The relationship represents a direct variation

and the equation is

The sequence is an arithmetic progression

The first term, a, is 10

the common difference, d, is 10 - 8 = 2

Given aa