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3 years ago

Write the equation in slope form intercept m=-2(3,-1)

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

Answer:

y = -2x + 5

Step-by-step explanation:

Find b using the m and (3, -1) given by plugging them into y = mx + b

-1 = -2(3) + b

-1 = -6 + b

5 = b

plub in m and b into y = mx + b

y = -2x + 5

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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:

Given functions:

$\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}$

Part A

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):

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

Part B

Given

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

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

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