3 years ago

Find the slope of the line passing through the points (-2, 9) and (-10, 33).

1 answer:

8 0

Slope = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1) = [33 - 9] / [ (-10 - (-2)]

Slope = 24 / ( -8) = - 3

Answer: - 3

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Clark mows lawns for $8 each. He is able to mow 3 lawns a day. Part A: Let N represent the number of days Clark mows lawns. Writ

harkovskaia [24]

Answer:

A: $8xN= $25 (N=5 days)

B: $8xN= $56 (N= 7 days)

Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

Find the volume of the ellipsoid x2+y2+4z2=100x2+y2+4z2=100.

kondor19780726 [428]

Given the ellipsoid $x^2+y^2+4z^2=100$

For the radius in the x-dirextion, y = z = 0, and we have

$x^2=100 \\ \\ \Rightarrow x=\pm10$

For the radius in the y-dirextion, x = z = 0, and we have

$y^2=100 \\ \\ \Rightarrow y=\pm10$

For the radius in the z-dirextion, x = y = 0, and we have

$4z^2=100 \\ \\ \Rightarrow z^2=25 \\ \\ \Rightarrow z=\pm5$

Thus, the radius of the ellipsoid is given by

$Volume=4\pi r^3=4\pi\times10\times10\times5=500\pi$