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3 years ago

I WILL MARK AS BRAINLIEST! Simplify

Mathematics

2 answers:

kkurt [141]3 years ago

6 0

Answer:

a) | -29 - 13 | = 42

b) | 39 - 62 | = 23

c) | -59 - 41 | = 100

d) | -26 + 71 | = 45

Remember, absolute value refers to a number's distance from zero on the number line, without taking direction into account. A number's absolute value can never be negative.

Hope this helped! :)

Snezhnost [94]3 years ago

3 0

Answer:

a) -42

b) -23

c) -100

d) 45

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write an equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

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The equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is $y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

<h3>Solution:</h3>

Given that we have to write equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

Let us first find the slope of given line AB

The slope "m" of the line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here the given points are A(-2,2) and B(5,4)

$\text {Here } x_{1}=-2 ; y_{1}=2 ; x_{2}=5 ; y_{2}=4$

$m=\frac{4-2}{5-(-2)}=\frac{2}{7}$

Thus the slope of line with given points is $\frac{2}{7}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

$\begin{array}{l}{\text {slope of given line } \times \text { slope of perpendicular bisector }=-1} \\\\ {\frac{2}{7} \times \text { slope of perpendicular bisector }=-1} \\ \\{\text {slope of perpendicular bisector }=\frac{-7}{2}}\end{array}$