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salantis [7]
3 years ago
6

How do you solve this

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

<h2>A</h2>

Step-by-step explanation:

gradient = (-3+2)/(0-3)

gradient = 1/3

slope intercept form : y = mx + b

m is the gradient which we have found to be 1/3

b is the y intercept that can either be -2 or - 3 (both the y coordinates)

therefore the equation would be y = 1/3 x - 3    (A)

hope this helps :)

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Step-by-step explanation:

 

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2 years ago
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Neko [114]

Answer:

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B)   7234.56 square units

Step-by-step explanation:

               

<u>Given functions</u>:

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To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}

<u>Part B</u>

Given

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Substitute the given values into the equation for A[p(t)} found in part A:

\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

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Step-by-step explanation:

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