-5 is greater than or equal to -2; add 7 to both sides

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

dimaraw [331]

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><u>Solution:</u></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

<em><u>The slope "m" of the line is given as:</u></em>

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

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

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

The perpendicular bisector will run through the midpoint of the given points

So let us find the midpoint of A(-2,2) and B(5,4)

<em><u>The midpoint formula for given two points is given as:</u></em>

$\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { midpoint } \mathrm{m}(x, y) \text { is given as }$

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

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

$m(x, y)=\left(\frac{-2+5}{2}, \frac{2+4}{2}\right)=\left(\frac{3}{2}, 3\right)$

Now let us find the equation of perpendicular bisector in point slope form

The perpendicular bisector passes through points (3/2, 3) and slope -7/2

<em><u>The point slope form is given as:</u></em>

$y - y_1 = m(x - x_1)$

$\text { Substitute } \mathrm{m}=\frac{-7}{2} \text { and }\left(x_{1}, y_{1}\right)=\left(\frac{3}{2}, 3\right)$

$y - 3 = \frac{-7}{2}(x - \frac{3}{2})\\\\y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

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

7 0

4 years ago

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing va

ANEK [815]

Answer:

See Explanation

Step-by-step explanation:

Given:

See Attachment

Required

Complete the table

From the question, we understand that:

$1m^2 = 10.75\ tiles$

So:

When square meters = 1

$X = 10.75 * 1$

$X = 10.75$

When square meters = 10

$X = 10.75 * 10$

$X = 107.5$

Assume any value of square meter for the third row;

Say: square meters = 20

$X = 10.75 * 20$

$X = 215$

When square meters = a

$X = 10.75 * a$

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At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the waffle sh

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90 percent of the mugs are dirty

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An old billionaire is writing his will, and deciding how to distribute his nine estates among his three children. He wants to gi

kotegsom [21]

Answer:

18

Step-by-step explanation:

6 2 1 How many ways does this produce and are they legitimate?

6 2 1
6 1 2
2 6 1
2 1 6
1 2 6
1 6 2

So any combination that you come up with, will produce 6 variations within those three choices. They are legitimate.

Lets see what you get with at most 5 estates to one person

5 3 1 Which will also give 6 variations. There are no other ways to make 5

4 3 2 Which will give 6 variations

I don't think there are any more possible choices.

621
531
432

Are the only 3 ways the estates can be split given the rules. Each choice leads to 6 other choices. The total is 18

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Enter the output values (Y) with the given function and input values (X).<br> y = 3x - 2

marishachu [46]

Answer:

hilghkiii

Step-by-step explanation:

5 0

3 years ago

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