Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,7) and (4,3)

Answers

Answer 1
First let’s find the gradient of the perpendicular bisector.

If the gradient of the line segment is m, then the gradient of its perpendicular bisector is -1/m.

Gradient of line= (y2-y1)/(x2-x1) =
(3-7)/(4- -8) = (-4/12) = -1/3

Therefore the gradient of the perpendicular bisector is 3

The perpendicular bisector will pass through the midpoint of line segment.

Midpoint of line= ((x1+x2)/2 , (y1+y2)/2)
=( (-8+4)/2 , (7+3)/2) = (-2,5)

Equation of perpendicular bisector : y=mx + c.

We know m is 3

So we have:

y=3x+c

The bisector passes through (-2,5). Replace in equation to find c.

5 = 3(-2) + c

5 = -6 + c
c = 5+6 = 11

So equation if bisector is y = 3x + 11

Related Questions

What is the equation of the graphed line written in
standard form?
x= -3
y= -3
x + y= -3
x-y= -3

Answers

Answer: x-y= -3.... I'm just here to help so I don't know if its the right answer but if it is let me know.

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLEIST IDC

how would you put -4.9+7.5t-0.3=0 in a quadratic formula or how would you write it as a quadratic formula

Answers

Answer:

You would have to mulitiply the reciprical by the 7.5t^3 by the other 3 terms

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.

Answers

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

x

300

x+5

300

=2

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

Sierra’s ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a dollar each hour when the shop was closed. The expression that models this situation is 45 minus two-thirds h. What was Sierra’s profit if the shop was closed for 6 hours?

Answers

Answer:

Sierra's profit was $41.

Step-by-step explanation:

Sierra realized she lost two-third of a dollar each hour when the shop was closed.

The expression that models this situation is,  ............. (1)

Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.

So, putting h = 6 hours in the equation (1) we get,

dollars.

So, Sierra's profit was $41. (Answer)

Step-by-step explanation:

Answer:

$41 is your answer (~UnU)~

Step-by-step explanation:

Have a great day!

On Sunday, Chris bought 5% of the cans from his grocery store in preparation for hurricane Sandy. If he bought 61 cans, how many cans did his grocery store have originally?

Answers

Answer:

1220 cans

Step-by-step explanation:

Let the number of cans be x

5% of x is 61, solve the equation below for x:

x*0.05 = 61x = 61/0.05x = 1220 cans

w^2+13w+36=(w+4)(w+?)

Answers

Answer:

w1= -8, w2 = -4

Step-by-step explanation:

Answer: [tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]

Step-by-step explanation:

[tex]w^{2} + 13w + 36 = (w + 4)(w + ?)[/tex]

w (w + ?) +4 (w + ?)

w² + ?w + 4w + ?

4w + ?w = 13w

Subtract both sides by 4w

?w = 9w

? = 9

4 (?) = 36

Divide both sides by 4

? = 9

[tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]

Hope I helped!

What are the coordinates of point A?


(–2, –6)
(–6, –2)
(–6, –3)
(–3, –6)

Answers

Answer:

Choice (-3, -6)

Step-by-step explanation:

Count from the x axis first then the y axis.

Point A moved 3 units to the left, then moved 6 units down.

Answer:

(-3,-6)

Step-by-step explanation:

the definitely correct

A student incorrectly solved an exponential equation looking at the work shown, what mistake did the student make

Answers

Answer:

i have made it in pic above

Find the missing sides.
(Help me)

Answers

Answer:

2nd one

Step-by-step explanation:

when it's a 45 45 and 90 triangle, it's 1, 1, sqrt 2, but now since the 1 is sqrt 2, v is sqrt 2, and u and sqrt 2 times sqrt 2, which is 2

Celia is sending her puppy to doggy daycare. There is an application fee of $50 and then a daily fee of $25 per day. Which linear equation represents the cost of bringing the puppy to doggy daycare x times?

Answers

Answer : x = no. of days

50 + 20x

Answer:

d its y=12

Step-by-step explanation:

first you do that then 25 gbg

Solve for X for A and B

Answers

Answer:

A. x = 3B. x = 3

Step-by-step explanation:

Question A

Using the proportions of similar triangles:

(7x + 4 + 15)/(12 + 20) = 15/12(7x + 19)/32 = 5/47x + 19 = 407x = 21x = 3

Question B

(6x - 3)/(6 + 4) = (6x - 3 - 6)/63(2x - 1)/10 = 3(2x - 3)/66(2x - 1) = 10(2x - 3)3(2x - 1) = 5(2x - 3)6x - 3 = 10x - 1510x - 6x = 15 - 34x = 12x = 3

Increase £19028.42 by 19.5%
Give your answer rounded to 2 DP.

Answers

Answer:

22738.96

Step-by-step explanation:

119.5% x 19028.42=

22738.9619

now rounded to 2 d.p is 22738.96


Complete the equation to show how many thirds are equivalent to
8/12 = ?/3

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Explanation:

What we need to do is to convert [tex]\frac{8}{12}[/tex] into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.

We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of [tex]\frac{8}{12}[/tex] - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.

So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is [tex]\frac{2}{3}[/tex].

helpppppppppppppppppp​

Answers

Answer:

Step-by-step explanation:

3/8 if you change 1/4 to 8ths you get 2/8. so if you add 1 3/8 + 2/8 you get 1 5/8 so you only need 3/8 to get to 2 quarts.

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 8829 total votes, how many yes
votes were there?

Answers

4905 yea votes

8829 divided by 9 = 981

981x5=4905

Solve for x. Your answer may be in decimal form. Round to the nearest tenth.

Answers

Answer:

[tex]x=54.6[/tex]

Step-by-step explanation:

Because ΔABC is similar to ΔSTU, we know that their corresponding sides are proportional. Therefore, we know that [tex]\frac{AB}{AC}=\frac{SU}{ST}[/tex]. We are given that [tex]AB=x[/tex], [tex]AC=21[/tex], [tex]SU=13[/tex], and [tex]ST=5[/tex]. After substituting the given values into the proportion and solving for [tex]x[/tex], we get:

[tex]\frac{AB}{AC}=\frac{SU}{ST}[/tex]

[tex]\frac{x}{21} =\frac{13}{5}[/tex] (Substitute given values into the proportion)

[tex]5*x=13*21[/tex] (Cross-Products Property)

[tex]5x=273[/tex] (Simplify)

[tex]\frac{5x}{5}=\frac{273}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=54.6[/tex] (Simplify)

Hope this helps!

Answer:

x=55

Step-by-step explanation:

these are similar triangles(they have same shape and different sizes)

also two side of these triangles are equal.

lets write ratio:

21:5=x:13

x=21×13/5=54.6≈55

Solve the equation,
9b + 15 = 4b = 10

Answers

Answer:

b=-1

Step-by-step explanation:

First step to any algebraic equation is to combine like-terms. This would mean that we would have to subtract 4b from both sides, I'm assuming its supposed to be plus ten and you just typed it wrong but, we get 5b+15=10 here we  subtract 15 from both sides and get 5b=-5. Now we isolate the variable b, getting b=-1.

how do i solve it?
.​

Answers

Answer:

The answer should be x = 3.

Step-by-step explanation:

Here is my work attached below:

Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells a 1-pound box of crackers for $4.68. The unit price at Price-Club is $ per ounce, and the unit price at Shop Mart is $ per ounce.

Answers

Answer:

$0.216 and $0.293

Step-by-step explanation:

Given,

Price club sells 12 ounce box = $2.59

Shop mart sells a 1 pound box = $ 4.68.

We have to find the unit price at Price club and Shop mart.

We know that 1 Pound = 16 ounce

Unit price at Price-club = [tex]\dfrac{2.59}{12}[/tex]

                                      = $0.216

Unit price at Shop Mart= [tex]\dfrac{4.68}{16}[/tex]

                                      = $0.293

It's actually [tex]1 \frac{1}{2}[/tex] pounds, not 1 pound.

because I got this question too. On odysse.yware.

Answer:

0.21 and 0.19

Step-by-step explanation:

It's simple, just divide it.

Divide 2.59 by 12 and divide 4.68. Then round the answers to the closest number in the choices. That's your answer buddy!

URGENT!! The partial results of a movie survey are represented in the two-way frequency table below. Complete the two-way frequency table.

Answers

Answer:

in male 2nd column fill 33. In female 1st column fill 29 and in 3rd one fill 50. In total 2nd column fill 54

Look at the following numbers:

-7, 0, 7, 14

Which pair of numbers has a sum of 0?

Group of answer choices

0, 7

-7, 7

7, 14

-7, 14

Answers

Answer:

The correct answer is: -7, 7

Step-by-step explanation:

Given numbers are:

-7, 0, 7, 14

We have to check all pairs of numbers with respect to sum to check that which pair of numbers sums up to zero. So first of all, we will take -7 and will find its sum with other numbers.

So,

[tex]-7+0 = -7\\-7+7=0\\-7+14 = 7[/tex]

We can see that the sum of -7 and 7 is zero.

Hence,

The correct answer is: -7, 7

Your answer is B.) -7, 7

determine the value of x

Answers

It’s d brrooooooooooooo

Answer:

both angle 2x+60 and 4x+20 are equal

2x+60=4x+20

60=2x+20

40=2x

x=20

Step-by-step explanation:

Lily buys some of her clothes from the mall. If 100% of her shirts are from the mall and she owns 86 shirts, how many of Lily's shirts are from the mall?

Answers

Answer:

the answer is 86

Step-by-step explanation:

the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86

Forever 21 has a student discount of 7%. The total for your items is $24 what is your total after the discount?

Answers

Answer:

the answer is $22.32

Step-by-step explanation:

Answer:

$22.32

Step-by-step explanation:

Explain how the product of 3 and 65 could be used to find 0.03 x 0.65

Answers

Answer:

because u just do 3 x 65 then you divide by 10  two times

Step-by-step explanation:

HELLPPPP NEEEEEDDDEEEEDD



Thank you very much!

Answers

Answer is A.) hope I helped!!!

Answer:

Answer C

Step-by-step explanation:

If f(x) = x - 4, find f(10)

Answers

Answer:

f(10) = 6

Step-by-step explanation:

To evaluate f(10), substitute x = 10 into f(x), that is

f(10) = 10 - 4 = 6

help me on 6 and plz tell me what to do.​

Answers

Answer:

10560 feet

Step-by-step explanation:

The answer is 10560 feet

Help meeeeeee pleaseeeee

Answers

Answer:

a

Step-by-step explanation:

8a - 36 for a = 7 and b = 1
8a - 3b =

Answers

8(7)-36=28
8(7)-3(1)=61
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