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julsineya [31]
2 years ago
10

Sarah's brother is 12 less than twice her age. If Sarah is 16, what equation represents this situation?

Mathematics
1 answer:
dybincka [34]2 years ago
7 0

The equation that can be used to represent the ages of Sarah and his brother will be 2x - 12 = 16.

<h3>How to solve the equation</h3>

From the question given, Sarah's brother is 12 less than twice her age and Sarah is 16.

Let Sarah's age be represented by x.

Therefore, the equation to represent the situation will be:

= (2 × x) - 12 = 16

2x - 12 = 16

2x = 16 + 12.

2x = 28

x = 28/2 = 14

Sarah is 14 years.

Learn more about equations on:

brainly.com/question/13763238

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<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
3 years ago
What is the product of 5/12 and 8/15​
Nadusha1986 [10]

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Step-by-step explanation:

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3 years ago
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3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

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GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

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A=(1)/(2)h(b_(1)+b_(2)) solve for h
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Answer:

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