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Mademuasel [1]
2 years ago
8

Complete the equation of the line through (−10,3) and (−8,−8). Use exact numbers.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0
So the equation of a line is y2-y1/x2-x1. So taking the numbers to find the slope it’s -11/2 as a slope. And for the y intercept it’s y=mx + b so find that out
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Which of the following is the graph of the piecewise function
trapecia [35]

By analyzing the piecewise function, we conclude that the first graph is the correct one,

<h3>Which of the following is the graph of the piecewise function?</h3>

The first part of the piecewise function is:

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This parts ends at:

f(-2) = 0

With that, we can discard the last two graphs.

Now, the second part is a rational function with a negative coefficient.

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brainly.com/question/3628123

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3 years ago
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume
aalyn [17]

Answer : The correct option is, (A) 54\pi cm^3

Step-by-step explanation :

First we have to calculate the volume of cylinder.

Formula used:

Volume of cylinder = \pi r^2h

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h = height = 18 cm   (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)

Volume of cylinder = \pi (3cm)^2\times (18cm)

Volume of cylinder = 162\pi cm^3

Now  we have to calculate the volume of 3 solid spheres.

Formula used:

Volume of 3 spheres = 3\times \frac{4}{3}\pi r^3

Volume of 3 spheres = 4\pi r^3

Volume of 3 spheres = 4\pi (3)^3

Volume of 3 spheres = 108\pi cm^3

Now we have to calculate the amount of empty space within a cylinder.

Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres

Amount of empty space within a cylinder = 162\pi cm^3-108\pi cm^3

Amount of empty space within a cylinder = 54\pi cm^3

Therefore, the amount of empty space within a cylinder is, 54\pi cm^3

5 0
3 years ago
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