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Olenka [21]
3 years ago
13

Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope.  The formula for slope is m=\frac{y_2-y_1}{x_2-x_1}. Once we have the slope, we can use any given point to plug in to find the y-intercept.

m=\frac{-5-9}{-3-(-3)} =\frac{-14}{0}

We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.

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Fill in the table for the exponential function given f(x)=3(2)^n
mina [271]

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

  • So we have 2^-1. This is the same as 3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2} = a
  • Now do 3(2^0) = 3 = b
  • Then do 3(2^1) = 6 = c
  • Finally do 3(2^2) = 12 = d
6 0
3 years ago
Earl worked 18 hours last week. If he had earned $2.00 an hour more but had worked only 15 hours, he would have earned the same
ruslelena [56]

Answer:

B) $10.00

Step-by-step explanation:

10 × 18 = 180

10 + 2 = 12

12 × 15 = 180

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What is the median of the data
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Which is closest to the volume of a cylinder with a height of 11 inches and
Veseljchak [2.6K]

Answer:

The closest to the volume of cylinder is <u>63 in.³</u>.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and  a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.

Let the radius be r.

Circumference=2\pi r

<em>Taking the value of π = 3.14.</em>

\frac{17}{2}=2\times 3.14\times r

8.5=6.28\times r

<em>Dividing both sides by 6.28 we get:</em>

1.35=r

So, radius = 1.35 inches.

Height = 11 inches.

Now, putting the formula to get the volume:

Volume=\pi r^2h

Volume=3.14\times 1.35^2\times 11

Volume=3.14\times 1.8225\times 11

Volume=3.14\times 20.0475

Volume=62.949\ inches^3

<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>

Therefore, the closest to the volume of cylinder is 63 in.³.

4 0
3 years ago
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