whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?

Answers

Answer 1

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]


Related Questions

To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?

Answers

Answer:

7,850

I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850

Mrs.Jones cuts an apple into eights. She eats 3/8 and give her son and daughter the rest

Answers

Answer:

i don't know what the rest of the question is, but she gives her kids 5/8 of an apple

Step-by-step explanation:

If the area of a circle is 25pi (n), what is the radius of the circle

Answers

Answer:

5

Step-by-step explanation:

the are is pi times radius times radius

so do the square root of 25, which is 5.

this means that the radius is 5

Answer:

five (5).

Step-by-step explanation:

Area of circle =pi r^2

given that area is 25pi

now equate both .....we get

25pi=pi r^2

25=r^2

r=5

Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.

Answers

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

-4 + 2m=6 I cant figure this out can someone help me ?

Answers

Answer:

m = 5

Step-by-step explanation:

2x5 is 10

-4 + 10 = 6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

m=5

Step-by-step explanation:

answer this plz means alot

Answers

Answer:

3x-2 = 7

After that, -2 go in right side like given below:

3x = 7+2

3x = 9

x = 9/3

x = 3.

A school library has 160 DVDs in its collection. Given that 45% of the DVDs are about science and 40% are about history, how many of the DVDs are about other subjects?

Answers

Answer:

24 DVDs

Step-by-step explanation:

45% of 160 = 72

40% of 160 = 64

72+64=136

160-136=24

24 DVDs

Which statement correctly compares 1/3 and 3/8????

Answers

well, 3/8 < 1/4 because divided by 8 would be smaller and 1/4 is bigger so yeah the last one

Examine the following diagram: 2 lines intersect to form 4 angles. From the top, clockwise, the angles are 1, 4, 2, 3. Which statement is not true of the given diagram? m∠2 + m∠3 = 180° m∠2 + m∠4 = 180° ∠3 and ∠4 are vertical angles ∠2 ≅ ∠4

Answers

Answer:

The answer is D on edg 2020

Step-by-step explanation:

brainliest plz

Answer:

Its D

Step-by-step explanation:

∠2 ≅ ∠4

Can someone please help me with this

Answers

Answer:

90

Step-by-step explanation:

times 15 and 6 maybe

Find the height of a cone with a diameter of 12 m whose volume is 226 m^3.
Use 3.14 for it and round your answer to the nearest meter.

A. 5 m
B. 2 m
C. 19 m
D. 6 m

Answers

Answer:

D. 6m

Step-by-step explanation:

Ap3x

The height of a cone with a diameter of 12 m whose volume is 226 m^3 is 6 m

What is the cone of a height?

The height of a cone is calculated using the formula:

h = 3V/πr 2

Where h = height of the cone

V = volume of the cone

r = Radius of the cone

But note that radius, r = diameter divided by 2

r = 12 ÷ 2 = 6m

Volume = 226 m^3

How to calculate the height of  a cone

Substitute the values into the formula

h = 3 × 226 ÷ 3.14 × 6 × 6

h = 678 ÷ 113. 04

h = 6m

Therefore, the height of a cone with a diameter of 12 m whose volume is 226 m^3 is 6m

Learn more about height of a cone here:

https://brainly.com/question/6613758

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8.73x10^-4 in standard form

Answers

Answer:

here you go I hope this is right

What mistake did Francisca make?
1 point
Francisca is asked to solve the
following equation, Francisca's
work is shown below.
3.5 = ** - 1.5
3.5 = {* - 1,5
+1.5 + 1.5
5 = ***
---
It 풍
Francisca was supposed to add the 1/3, instead of subtracting by 1/3
Francisca was supposed to multiply by 3/1, instead of subtracting by 1/3
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3

Answers

Answer:

Francisca was supposed to divide by 1/3, instead of subtracting by 1/3.

Step-by-step explanation:

She was completing the equation correctly until she subtracted 1/3 instead of dividing both sides. It should have been 5 divided by 1/3 or 15/3 divided by 1/3.

I hope this helps!

Which of the following shapes is a parallelogram that always has four congruent sides?

rhombus
trapezoid
rectangle
kite
square

Answers

Answer:

Square and Rhombus

Sorry for being late

A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.

A. (1.5, 2)

B. (-1.5, 2)

C. (0, 1.3)

D. (0, 0)

Answers

Given:

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

To find:

The intersection point of all the medians of the triangle ABC.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]

[tex]Centroid=\left(0,1.333...\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(0,1.3\right)[/tex]

The coordinates of required point are (0,1.3). Therefore, the correct option is C.

find the additive inverse of-9x+3​

Answers

Answer:

9x − 3

Step-by-step explanation:

−9x + 3 = −1(−9x + 3) Multiply the expression by −1.

−1(−9x) + −1(3) Distributive Property

9x − 3 Simplify.

The additive inverse of the given expression is 9x-3​.

The given expression is -9x+3.

What is additive inverse?

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The additive inverse of the expression is -(expression).

Now, -(-9x+3)

= 9x-3

Therefore, the additive inverse of the given expression is 9x-3​.

Learn more about the additive inverse here:

brainly.com/question/24149673.

#SPJ2

Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.

Answers

Answer:

94.7

Step-by-step explanation:

15.50+10*0.99*8

I need answers too these two questions pls

Answers

can you show the options? so i can chooseffffndnsns
1.) the government private business.

please help me with these three questions, i'll give brainliest

Answers

Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

Anyone know ????? thank you

Answers

Answer:

2/3

Step-by-step explanation:

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\( 'ㅅ' ) WE ALL NEED CORONA
> ⌒ヽ
/ へ \
/ / \\ or CORONA WILL NEVER Live
レ ノ ヽつ
/ /
/ /|
( (ヽ
| |、\
| 丿 \ ⌒)
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⊂ヽ

Answers

Answer:

Wow u good and thanks for the points and I love your profile picture

Step-by-step explanation:

Answer:

wE nEeD cRoNa tO DiE

Step-by-step explanation:

Taylor walks 7 miles in 2 hours. At what unite rate dose Taylor walk

Answers

Answer:

C

Step-by-step explanation:

Unit rate means that the denominator of the units has to be 1: units have to be miles/1 hour

Thus divide miles by hours to get the unit rate. The answer would then be 7/2 miles/1 hour

How fast is 5,280 feet= 1 mile
in feet per second

Answers

Answer:

10.560

Step-by-step explanation:

you can just use the calculator!

Answer:

62.5 i think... sorry if im wrong

Step-by-step explanation:

i hope this helps :3

What is the best description of AB?

Answers

9514 1404 393

Answer:

  F  altitude

Step-by-step explanation:

AB is perpendicular to triangle base XZ, so is an altitude of the triangle.

__

Additional comment

B is not the midpoint of XZ, so AB is not the median and not a bisector of XZ. Likewise, AB is not the angle bisector of angle A. (The triangle would have to be isosceles for AB to be a perpendicular bisector, median, and angle bisector.)

Eliminating the choices that can't work leaves the one that does work. AB is the altitude.

Answer:

Altitude

Step-by-step explanation:

What is the value of the expression -48 ÷ (-4)

Answers

Answer:

12

Step-by-step explanation:

Since 48/4=12

But this time all negative

negative*negative=positve

SO it is 12 still

Answer:

12

Step-by-step explanation:

negative divided by a negative makes a positive, -48/(-4) is 12

Can someone help me with question 12A please? Thank you!

Answers

Answer:

Step-by-step explanation:

SOORY

A washing machine bought on hire purchase terms of a deposit of $768 and 12 monthly payments $74. What is the total hire purchase price

Answers

Answer:

$1656

Step-by-step explanation:

(12*74)+768

(888)+768

1656

(-1/2 + 5/2) + a =0 solve for a

Answers

Answer:

a = -2

i hope this helps

Answer: a = - 2

Step-by-step explanation:

[tex]\bigg (-\dfrac{1}{2} +\dfrac{5}{2} \bigg )+ a=0\\\\ \dfrac{4}{2} +a=0\\\\2+a=0\\2+a-2=0-2\\a=-2[/tex]

Help me pls ASAP thank you have a great day!!

Answers

Answer:

Dude like I just answered the previous question. Try doing it by yourself. Lol

Find the measure of the missing angle.

Answers

Answer:

Hi

U should do like this

90-51=39...

Answer: 39 degrees

Step-by-step explanation:

Right angle is 90 degrees so 51 plus a will equal 90

A is 39 degrees

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