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Roman55 [17]
3 years ago
15

Equation for the points (3,8) (2,6) on slope

Mathematics
2 answers:
Irina18 [472]3 years ago
7 0
\frac{8-6}{3-2} = \frac{2}{1}=4

The slope is 2

y=2x + b

Plug in a point to solve for b
8 = 2(3) + b

8 = 6 + b
b = 2

The equation is y = 2x + 2
olga2289 [7]3 years ago
5 0
Supposing this is written in y=mx+b form the equation would look like this y=2x+2.
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A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.
andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

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