Find an equation for the perpendicular bisector of the line segment whose endpoints are (−3,4) and (−7,−6).

Answers

Answer 1

Answer:

[tex]y=-\frac{2}{5}x-3[/tex]

Step-by-step explanation:

First, you must find the midpoint of the segment, the formula for which is [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]. This gives you (-5,-1) as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], which gives us a slope of [tex]\frac{5}{2}[/tex].

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of [tex]\frac{5}{2}[/tex] is [tex]-\frac{2}{5}[/tex].

We now know that the perpendicular travels through the point (-5,-1) and has a slope of [tex]-\frac{2}{5}[/tex].

Solve for [tex]b[/tex] in [tex]y=mx+b[/tex].

[tex]y=mx+b\\-1=-\frac{2}{5}(-5)+b\\-1=2+b\\-3=b\\b=-3[/tex]

Therefore, the equation of the perpendicular bisector is  [tex]y=-\frac{2}{5}x-3[/tex].

Answer 2

Answer:

She's right, praise jeebus :3

Step-by-step explanation:


Related Questions

-5w=7-4w+8
need help and need my work shown ​

Answers

Answer:

w = -15

Step-by-step explanation:

-5w = 7 - 4w + 8

Grouping like terms together,

-5w+4w = 7+8

-w = 15

w = -15

Help please! Thanks, answer only if you know how to do this.

Answers

Answer:

2 radians

Step-by-step explanation:

The ratio of the arc length to the circumference is the same as the measure of angle AOB in radians to 2pi. 2pi radians is a full circle. We can now construct an equation, with x being our answer.

[tex]\frac{6}{6\pi } =\frac{x}{2\pi } \\\frac{1}{\pi } =\frac{x}{2\pi }\\1=\frac{x}{2} \\2=x[/tex]

First, we try to simplify both sides. Next, we multiply both sides by pi. Then, we multiply both sides by 2. Finally, our answer is 2, so 2 radians.

Tina is considering two cell phone plans and wishes to decide, based on her expected phone usage,
which plan to purchase. Plan A has a monthly fee of $4995. Plan B costs $39.95 per month. Plan A
charges 5¢ per minute after 300 minutes of talk time. Plan B charges 10€ per minute for any talk time
beyond 500 minutes. Which pair of equations could Tina use to decide on the least costly plan for her
usage? Assume Tina always uses more than 500 minutes per month
(a) c = 39.95 + 0,10m - 300)
(b) c = 39.95 + 0.1(m - 500)
c = 49.95 + 0.050m - 500)
C = 49.95 + 0.05(m - 300)
(c) =3995+0.11 - 50
(d) =3995 +0.11 - 500
C = 49.95 + 0.05m - 15
c = 49.95 + 0.05m - 300
(e) bando

Answers

The answer is (c)=39995+0.11-50

Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)
A.45xy-220
B.15x-30y-220
C.15x+30-220
D.15x+30y-64

Answers

Answer:

C, assuming you left off the y on the 30

Step-by-step explanation:

30(.5x-2)+40(.75y-4)

Distribute

15x-60+30y-160

Simplify

15x+30y-220

Could I please get some help on this?
Using dimensional analysis, how many kilometers are there in 34 inches?

Answers

34 inches have the same length of 0.0008636 kilometers.

k/6 + 8 = 5 what does k=?

Answers

Answer:

The answer is k= -18

Step-by-step explanation:

hope this helps

k/6 + 8 = 5

1/6k+8-8=5-8

1/6k=-3

To find I divide both sides by 1/6.

1/6k/1/6=-3/1/6

k= -18

The value of k in the equation k/6 + 8 = 5 is -18.

The given equation is k/6 + 8 = 5 .

We have to find the value of k.

Let us isolate the term with variable k by subtracting 8 from both sides:

k/6+8-8=5-8

k/6=-3

Apply cross multiplication:

k=-18

Hence, the value of k is -18.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Helppp pls ASAP plsss help

Answers

Answer:

17

Step-by-step explanation:

8.5 divided by 0.5 = 17

Don't worry about it being negative

Think about the negative positive triangle, it looks like that

-  -

+

The picture above is my question. thank you. ​

Answers

Answer:

<

Step-by-step explanation:

greatest common factor.
32+44

Answers

Answer:

I'm pretty sure its 76

hope this helps

Dissolution of 2Y +9 equals four is

Answers

Answer:

11

Step-by-step explanation:

what is the parallel slope intercept form pls answerr​

Answers

Answer:

the paralell slope is -4. The slope intercept equation is -4x-4

Step-by-step explanation:

hope this helps!

the length of rectangle is 8/3 cm and the width is 6/4 cm what is its area?
pls. I need it now​

Answers

Answer:

the area is 4cm

Step-by-step explanation:

im not sure if this is how you find area, but all i did was multiply the two numbers. that is either how to find area or perimeter. :)

A 3.5 gallon gas can contains 910 gallons. How much more gas can be poured in?

Answers

Answer:

-96.5

Step-by-step explanation:

I think your answer is 2785.0
IM REALLY SORRY IF ITS WRONG!!!!!

Is this true or false?

Answers

Step-by-step explanation:false

Answer:

The answer is false


Help me pleaseeeeee!!!!!

Answers

I forgot the formula I’ll start working on it !!!what’s the formula

Plz help me for brainliest

Answers

Answer:

Isoscles right i think

PLEASE ANSWER

what does ok mean?

Answers

I use it as a short way to say "okay" but I don't know how others may use it.

To raise money for homecoming the student council sold a total of 240 tickets to a basketball game the number of adult tickets sold was 2 times the number of student tickets based on this information would it be reasonable for the student council to have sold 160 student tickets and 80 adult tickets

Answers

Answer:

no

Step-by-step explanation:

because the number of student tickets 160 is higher than the number of adult tickets 80 and the information tells us that the adult tickets were twice the amount of student tickets sold. If the numbers were swapped to be adult=160 and student=80 then it would be correct.

sorry for the long explanation especially if you find it confusing

Can someone help me with this pls !!!
I hope you can see it !

Answers

Answer:

c i think

Step-by-step explanation:

Answer: the first one

Step-by-step explanation:

write an inequality to compare the numbers 7 1/8 and square root of 50.

a. 7 1/8 = square root of 50

b. 7 1/8 (less than or equal to) square root of 50

c. 7 1/8 < square root of 50

d. 7/8 > square root of 50

Answers

Answer:

Latter C.

Step-by-step explanation:

..............................

13. Prove 6n + 3 is equivalent to 3n + 2 + 3n + 1 by substituting n = 5 into both
expressions.

Answers

6(5)+3= 33 3(5)+2+3(5)+1= 33

Answer:

6 x 5 = 30 + 3 = 33

3 x 5 = 15     15 + 2 = 17        17 + 15 = 32       32 + 1 = 33

Step-by-step explanation:

I need help please

Answers

Answer:

Um, I don't think you took the pic correctly... there is only one option showing.

Step-by-step explanation:

All I can say is good luck andd the first one should NOT be checkmarked.

Hope u pass! gl :)

Another math question lol!

Answers

Answer:

a

Step-by-step explanation:

im not sure

It’s B I just finished that lesson

3x^2+7xy- 6y^2, factorize ​

Answers

Answer:

(3x−2y)(x+3y)

Step-by-step explanation:

3x2+7xy−6y2

=(3x−2y)(x+3y)

24 of 30 workers take 1 hour lunch. What percent of the workers take 1 hour lunch?

Answers

Answer:

80%

Step-by-step explanation:

Divide 24 by 30

Answer: 80%

Step-by-step explanation:

i have 11 points ;-;

Answers

Answer:

OOOPS-

Step-by-step explanation:

i feel kinda bad stealing your points l-mao

The cost of a book is $8.00. What is the selling price of the book if the store's markup is 36%?

Answers

If the price goes up by 36% that mean the book would now be $10.88

The cost of producing a smartphone is $42.73 per phone. Additionally, the smartphone company pays a flat rate of $175 to ship each store's order. Write an equation to model the costs for the smartphone company (y) to produce x number of smartphones and ship them to one store

Answers

Answer:

y=42.73x+175

Step-by-step explanation:

42.73=m and 17=b

Answer:

y=42.73x+175

Step-by-step explanation:

i know i did it

?help ?!

86 - [(4 - 9) to the 2nd power x 3]

show your work​

Answers

Answer:

161

Step-by-step explanation:

86 - [(4 - 9) to the 2nd power x 3]

86 - [(-5) to the 2nd power x 3]

86 - [-25 x 3]

86-(-75)

86+75

161

I believe the answer is 161

Find the 61st term of the arithmetic sequence
8, 7, 6, ...

Answers

Answer:

The 61st term is -52

Step-by-step explanation:

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