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3 years ago

The sum of 2 number is 42 and when you switch the order the difference is 5

1 answer:

4 0

So, x + y = 42 and y - x = 5;
Then, y = x + 5;
Finally, x + x + 5 = 42;
2x + 5 = 42;
2x = 37;
x = 18.5;
y = 18.5 + 5;
y = 23.5;

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3 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

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Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

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Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

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$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

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2 years ago