Write an equation of the perpendicular bisector of the segment with endpoints G(5,-8) and H(7,4) Your answer should be in slope-intercept form. Please type your equation with NO SPACES and if the slope is not a whole number, please make sure it is written as a faction.

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{6}x-1[/tex]

Step-by-step explanation:

In order to solve this problem we can start by finding the slope of the perpendicular equation. We can do this by finding the slope of the equation that passes through the two points provided by the problem.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so we input the two points (5,-8) and (7,4) to get:

[tex]m=\frac{4-(-8)}{7-5}[/tex]

so  

m=6

next, we find the negative reciprocal to get the slope of the perpendicular line, so we get:

[tex]m=-\frac{1}{6}[/tex]

Now we need to find one point that the line passes through.

we can find that point by using the midpoint formula:

[tex]x=\frac{x_{2}+x_{1}}{2}[/tex]

[tex]y=\frac{y_{2}+y_{1}}{2}[/tex]

so we get:

[tex]x=\frac{7+5}{2}=6[/tex]

[tex]y=\frac{4-8}{2}=-2[/tex]

So the point is (6,-2)

So now we can find the equation of the line by using the point-slope form of the linear equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

and substitute the point and the slope into the equation:

[tex]y-(-2)=-\frac{1}{6}(x-6)[/tex]

and solve for y:

[tex]y=-\frac{1}{6}x+1-2[/tex]

[tex]y=-\frac{1}{6}x-1[/tex]

which will be our answer.


Related Questions

Can someone please help me out with this math problem please4895 divided by 8?

Answers

4,895 ÷ 8 should be 611 . 875

Alex is adding baseball cards to sleeves in his binder. He filled 2 7 of his binder the first day. On the second day he filled 4 7 . How much of his binder did Alex fill in those two days

Answers

Answer:

Alex filled 6 7 of his binder.

Step-by-step explanation:

Alex filled 6 7 of his binder.

What is the sum of 34 + 19 is

Answers

53

4 + 9 = 13, the one carries over, so 3 + 1 + 1 = 5

Answer:

53

Step-by-step explanation:

9 add 4 gives you 13 10 plus 30 is 40 add 13 53

please help me with #10 DUE TODAY please

Answers

Answer:

its c my guy

Step-by-step explanation:

did this same stuff

a while back

the answer is c (129)

anyone good in math?

Answers

Answer:

no lol

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

need to be done asap!!! I will give u brainliest if ur right

Answers

The answer is the first one, A

How do you find the rule? How do you find n? PLEASE GIVE ME BOTH!!

Answers

Answer:

The rule is y = x - 9

n = 11

Step-by-step explanation:

To find patterns, we just have to look at the table and see if there are any repeating rules.

Well, the y values go from 1 to 3 to 6

3 - 1 = 2

6 - 3 = 3

Nothing similar there.

But, we can see that 10 - 1 = 9

12 - 3 = 9

When you subtract 9 from each x value, you get the y value

So, y = x - 9

n = 20 - 9

20 - 9 = 11

Ratio remains same

[tex]\\ \rm\rightarrowtail \dfrac{12}{3}=\dfrac{20}{n}[/tex]

[tex]\\ \rm\rightarrowtail 4=20/n[/tex]

[tex]\\ \rm\rightarrowtail n=20/4[/tex]

[tex]\\ \rm\rightarrowtail n=5[/tex]

In a recent poll a random sample of adults in Texas was asked whether they supported a proposed tax increase the complete results of the poll are shown below. Response Yes 483 No 807 Maybe 210 What percentage of the respondents did not support the tax increase.

Answers

Answer:

[tex]\% = 53.8 \%[/tex]

Step-by-step explanation:

Given

[tex]Yes = 483[/tex]

[tex]No = 807[/tex]

[tex]Maybe = 210[/tex]

Required

Determine percentage of "No"

First, we need to determine the total population

[tex]Total= 483 + 807 + 210[/tex]

[tex]Total= 1500[/tex]

Percentage of No is then calculated as follows:

[tex]\% = \frac{No}{Total} * 100\%[/tex]

[tex]\% = \frac{807}{1500} * 100\%[/tex]

[tex]\% = \frac{80700}{1500} \%[/tex]

[tex]\% = 53.8 \%[/tex]

40X - 20x = 20(
blank-blank)

Answers

Answer:

x=1

or

[tex]x=-\frac{1}{40}[/tex]

Step-by-step explanation:

if the question says 40 times negative 20x equals 20 the answer is [tex]x=-\frac{1}{40}[/tex]

if the question is 40x minus 20x equals 20 then the answer is x=1

subtract (4m2−m+2)−(−3m2+10m+4)

Answers

Answer:

7m² - 11m - 2

Step-by-step explanation:

(4m² - m + 2) - (-3m² + 10m + 4)

4m² + 3m² - m - 10m + 2 - 4

7m² - 11m - 2

I NEED HELP!!!!!!!! PLEASE HELP ME!!!!!!

Answers

Step-by-step explanation:

I solved it for you by steps...

I hope you understand...

find the units digit of the square of the following numbers .

(a) 406
(b) 30,465
(c) 48,798
(d) 33
(e) 1,60,0001

Answers

We’re is the square?

What is 5,432 divided by 4

Answers

Answer:

1358

Step-by-step explanation:

Answer:

1358

Step-by-step explanation:

hope that helps:)

2.) Tia is buying paper cups and plates. Cups come in packages of 12, and plates come in packages of 10. She wants to buy
the same number of cups and plates, but plans to buy the least number of packages possible. How much should Tia expect
to pay if each package of cups is $3 and each package of plates if 557 Explain.
The answer I need is to this question:
What is the least number of packages possible that tia could buy

Answers

Answer:

Tia would have to buy 5 packages of cups which equals 60 cups and cost $15. She would then have to buy 6 packages of paper plates which equals 60 plates and cost $32.42. Altogether Tia would have to buy 6 packages of plates and 5 packages of cup for the cost of $48.42.

Hope it helps :)

Brainliest pls?

Have a good day/night

Mr. Anderson’s apple pie recipe requires ⅜ pounds of apple for 1 apple pie. How many pounds of apples would Mr. Anderson need to make ⅘ of an apple pie?

Answers

Answer:

  3/10 lb

Step-by-step explanation:

The amount needed for a fraction of a pie is that fraction times the amount needed for the whole pie:

  (4/5) × (3/8 lb) = (4·3)/(5·8) lb = (3/5)(4/8) lb = 3/(5·2) lb

  = 3/10 lb

Mr. Anderson would need 3/10 pounds of apples for 4/5 of an apple pie.

Find the value of n.

Answers

Answer:

n=25

Step-by-step explanation:

Using the relation that describes the measure of the angle formed by two secants being equal to half of the difference of the 2 arcs (large arc-small arc) we can establish the relation;

[tex]10 = \frac{45 - n}{2} [/tex]

[tex]20 = 45 - n[/tex]

[tex] - 45 + 20 = - n[/tex]

[tex] - 25 = - n[/tex]

[tex]n = 25[/tex]

What is the definition of a covalent bond?


A.a bond between a positive and a negative ion


B.a bond between two negative ions


C.a bond between two positive ions


D.a bond between two atoms

Answers

Answer:

D: A bond between two atoms

Step-by-step explanation:

What does the algebraic representation (x, y) → (-x, y) represent?

Answers

Answer: Reflection over y axis

Explanation:

Consider the point (1,2). If we apply the rule [tex](x,y) \to (-x,y)[/tex], then it would move to (-1,2).

The x coordinate flipped in sign from positive to negative. The y coordinate stays the same.

Another example is (-3,7) reflecting to (3,7).


Who’s got me w this question ?? It’s timed pls answer ASAP

Answers

Answer:

#3

Step-by-step explanation:

it cant be the others

the third answer is correct

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Answer

5.0/5

2

author link

09pqr4sT

Genius

4.1K answers

13.9M people helped

Answer:

Step-by-step explanation:

The number is represented through the letter x.

I think of a number, subtract four, then divide by three.

Subtract four will be - 4

Divide by three will be /3

Step-by-step explanation:

HELP ASAP I GIVE BIG BRAIN I ONLY NEED ANSWER PLESSS Question 3
Solve the system of equations by substitution. If there is one solution, express it as an ordered pair. If there is no solution, write no solution in the box. If there is an infinite number of solutions, write infinite number of solutions.



y+7=2x
2y=4x−14

Answers

Answer:

y=2x-7

2(2x-7)=4x-14

4x-14=4x-14

therefore,this has no solutions

How do I divide fractions when one of them is a while number?​

Answers

Answer:

change it to a mix fraction instead

Step-by-step explanation:

Answer:

You add a one underneath of the while number So for example if the number was 2 make it into a fraction 2/1 then flip it so you can multiply it

What type of association does the graph show between x and y? (5 points)

Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association

Answers

Answer:

B. nonlinear positive

Step-by-step explanation:

in the graph it shows what would be a line that curves in the upward direction, and a linear line is a straight line without a curve, so you know the line is non-linear, it also shows it traveling to the upward facing position, this makes it a positive line/slope.

10x + 6y - 5x idk how to do this

Answers

5x+6y is the answer i jope this helps you

Does this graph represent a function? Why or why not?
A. Yes, because it has two straight lines.
ооо
OB. Yes, because it passes the vertical line test.
O C. No, because it fails the vertical line test.
O D. No, because it is not a straight line.

Answers

Answer:

C. No, because it fails the vertical line test.

Step-by-step explanation:

The vertical line test a method used to check if a graph represents a function.

if you move a vertical line along the graph the line always crosses one point at a time however if the line touches two points at the same time then it is not a function .

The graph fails the vertical line test, it does not represent a function

C. No, because it fails the vertical line test

What is  vertical line test?

The vertical line test is a graphical test used to determine if a graph represents a function.

According to the vertical line test, if any vertical line intersects the graph in more than one point, then the graph does not represent a function.

In the graph provided, we see that there a vertical line will intersect the graph in more than one point.

Since the graph fails the vertical line test, it does not represent a function. Therefore, option C is the correct answer: "No, because it fails the vertical line test."

Learn more about vertical line test

https://brainly.com/question/1821791

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what are two solution to x<8

Answers

Answer:

1 and 4

Step-by-step explanation:

All you need is 2 numbers that are less than 8

HELP IN THE ENST % MINUTES AND ILL MARK YOU BRAINLY

Answers

Answer:

y=51 x=8

Step-by-step explanation:

if your in a rush I'll explain later

y=21 and x=8

27+3y=90
3y=63
y=21

90+x+(8x+18)=180
108+9x=180
9x=72
x=8

There are 3 red, 2 yellow.
1 blue, and 5 green
deflated balloons in a
sack. What is the
probability of drawing out
a yellow balloon?

Answers

Answer:

The probability is like 0.18 or 18%

Step-by-step explanation:

Around 18% for the yellow balloon because it’s 2/11

The image above shows two congruent triangles. What is the measure of angle y?

Answers

Answer:

20 degree

Step-by-step explanation:

angle sum of triangle

180-112-48

There are two ways , so the first part reference to method 1 and and second part reference to method 2.

[tex] \\ [/tex]

PART 1 :-

[tex] \\ \\ [/tex]

[tex] \tt In~\triangle ABC: [/tex]

[tex] \\ [/tex]

[tex] \tt \angle A + \angle B + \angle C = 180 {}^{ \circ} [/tex]

{sum of triangle}

[tex] \\ \\ [/tex]

here we can find value of angle C.

[tex] \\ [/tex]

[tex] \dashrightarrow \sf\angle A + \angle B + \angle C = 180 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf112 + 48 + \angle C = 180 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf160 + \angle C = 180 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf\angle C = 180 {}^{ \circ} - 160 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf\angle C =20^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

angle c is congruent to angle f

.°. y = 20°

[tex] \\ \\ [/tex]

PART 2:-

[tex] \\ \\ [/tex]

angle a = angle d

.°. value of x = 112°

[tex] \\ \\ [/tex]

[tex] \tt \angle E + \angle D + \angle F = 180 {}^{ \circ} [/tex]

[tex] \\ \\ [/tex]

ve can find value of y :-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x + 48 + y= 180 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf112 + 48 +y = 180 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf160+y= 180 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf y= 180 {}^{ \circ} - 160 {}^{ \circ} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \bf y=20^{ \circ} \\ [/tex]

Estimate the surface area of a cube with side length 9.9 in. A) 100 in2 Eliminate B) 400 in2 C) 600 in2 D) 1000 in2

Answers

Check the picture below.

[tex]\stackrel{\textit{area of all 6 faces}}{6(9.9\cdot 9.9)\implies 6(98.01)}\implies 588.06~~ \approx ~~600~in^2[/tex]

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