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andrew-mc [135]
3 years ago
6

What is the slope of a line that passes through the points (4,-2) and (-1,8)

Mathematics
1 answer:
gregori [183]3 years ago
6 0

set y = kx+b

for (4,-2): -2=4k+b (function 1)

for (-1,8): 8=-k+b (function 2)

Use function 2 subtract function 1:

10=-5k

k=-2

SO the slope is -2.

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Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

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Lowest Common Denominator = 8

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The fraction of the fabric that is left is 3/8

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The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 12 feet, represented by a v
tia_tia [17]

Answer:

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Step-by-step explanation:

Refer to the vertex form equation for a parabola:

y=a(x-h)^2+k where (h,k) is the vertex.

Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:

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Therefore, your final equation is y=-3/16(x-8)^2+12

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