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Vadim26 [7]
3 years ago
6

Solve the Equation. 12x+3=51

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0
12x + 3 = 51

51 - 3 = 48

X = 4
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1.35(1500) = 2025
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Joe wants to calculate 12×8 in a calculater but the 8 key isnt working.Explain what can he do
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A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t
Neko [114]

Answer:

A)   A[p(t)] = 36πt²

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<u>Given functions</u>:

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

<u>Part A</u>

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.

4 0
2 years ago
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9x2 - 6xy<br> Factorise Fully
tamaranim1 [39]
Remember distributive property, but reverse it
ab-ac=a(b-c)
a is a common factor


find common factors
factor each
9x^2=3*3*x*x
6xy=2*3*x*y
common factor is 3*x or 3x

9x^2-6xy=3x(3x)-3x(2y)=3x(3x-2y)

factored form is 3x(3x-2y)
4 0
3 years ago
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