Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).

Answers

Answer 1

Answer:

y = x - 2

Step-by-step explanation:

Going from M to N, the run (increase in x) is 6, from 1 to 7. The rise (which is actually a decrease here) is -6, from 5 to -1. Thus, the slope of the line segment MN is m = rise / run = -6/6, or -1.

The slope of the perpendicular bisector is the negative reciprocal of this m = -1, and is +1.

This bisector passes through the midpoint of segment MN. The x-coordinate of this midpoint is (1 + 7)/2, or 4, and the y-coordinate is (5 - 1)/2, or 2: (4, 2).

Knowing both a point on this bisector (4, 2) and the slope of the bisector (+1), we can modify the point-slope form of the equation of a straight line, y - k = m(x - h), to obtain y -2 = 1(x - 4), or y = 2 + x - 4, or y = x - 2

Related Questions

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.

Answers

Answer:

1 / 12 ; $1

Step-by-step explanation:

Pan was 1/4 full and she buys 1/3 of the cornbread in the pan

The fraction of cornbread she buys is :

1/3 of 1/4

1/3 * 1/4 = 1/12

Hence, she bought 1/12 of cornbread

The amount she pays :

Cost of 1 pan = $12

Therefore, the cost of 1/12 of a pan will be :

1/12 * $12 = $1

Hence, she'll pay $1

Translate the sentence into an equation.
The sum of 5 times a number and 9 is equal to 4.

Answers

The answer would be 5n+9=4 hope that helps

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

Answer:

C. Adjacent

Step-by-step explanation:

I’m just typing this to get points don’t mind this lol

HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
Which numbered choice below
represents the equation used to
develop the chart of values seen
at the right?
1) x + y = -5 2) y = -x + 7
3) x - y = 5 4) y = x + 5

Answers

Answer:

the answer would be (4) or y=x+5

Step-by-step explanation:

-4+5 = 1 y=1 check

0+5=5 y=5 check

and so on.

Brenda took a math quiz last week. She got 21 problems correct and 4 problems incorrect. What percentage did Brenda get correct?

Answers

Answer:

84%

Step-by-step explanation:

Add the total number of questions (21+4 = 25)

divide 25 by 21

25/21 = 0.84

Multiply 0.84 by 100 to change it to a fraction

0.84*100 = 84%

The percentage that Brenda got correct was 84 percent

Need some help for this retake

Answers

its is 74 because you add all of them then subtract it from the total which in your case is 360

Answer:

Step-by-step explanation:

you add the numbers together you get 286 and the total degree of the shape is 360 so you subract 360 and 286 so you get 74

20 mi
12 mi
b
What is the length of the missing leg?

Answers

Answer:

Step-by-step explanation:

thats my answer byusing calculato

turn 2 3/4 into an improper fraction

Answers

Answer:

11/4

Step-by-step explanation:

Multiply the denominator by the whole number and add it to the numerator and keep the denominator the same therefore it would be 11/4.

h e l p
Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?

Answers

Answer:

Zayn= $928.72

Angelo= $880.64

Zayn has 48.08 more than Angelo.

Step-by-step explanation:

Answer:

zayn- 934.58

angelo- 880.64

Step-by-step explanation:

Which equation below can be used to determine the missing angle in the triangle?
Select one:

x+75+60=180

75x+60x=180

75+60=x

x+75+60=90

Answers

Answer:You can use this fact to solve for the missing angle of a triangle. ... Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees. ... Let x = the degree measure of each angle.

Step-by-step explanation:

Find the missing length of the triangle
20 cm
12 cm

Answers

The shape on the left is a square with side length of 12 cm

This means the height of the triangle is 12cm.

Knowing the height and the hypotenuse using the Pythagorean you can solve for the base.

20^2 = 12^2 + x^2

400 = 144 + x^2

Subtract 144 from both sides:

256 = x^2

Take the square root of both sides

X = sqrt(256)

X = 16

In which 3 statements below will the number 24 correctly fill in the blank? A) 2 feet = ___ inches B) 24,000 grams = ___ kg C) 3 gallons = ___ pints D) ___ pints = 12 cups E) 240 mg = ___ grams

Answers

Answer:

A,B and C.

Step-by-step explanation:

(A) 1 feet = 12 inches

So, 2 feet = 2 × 12 inches = 24 inches

(B) 1,000 grams = 1kg

So, 24,000 grams = (24,000÷ 1,000) = 24kg

(C) 1 gallon = 8 pints

So, 3 gallons = 3 × 8 pints = 24 pints

(D) 1 pints = 2 cups

So, 12 cups = (12÷ 2) = 6 pints

(E) 1 gram = 1000 mg

So, 240 mg = (240 ÷ 1,000) = 0.24 gram

Hence, A,B and C correctly fill with 24.

Find the total surface area of the net bellow
1. 102.4 cm2
2. 357.4 cm2
3. 22.4 cm2
4. 3502.4 cm2

Answers

Answer: 102.4 cm^2

Step-by-step explanation:

find the surface area of all of the rectangles

7.2(4)=28.8

7.2(2)=14.4

7.2(4)=28.8

7.2(2)=14.4

4(2)=8

add

28.8+14.4+28.8+14.4+8+8=102.4

Help me solve 2 and 4

Answers

Answer:

2. answer C

4. answer C

Step-by-step explanation:

hope this helped you :)

Answer: i know 4 but i coudint find 2 but 4 is (D)

HELP!!!! I NEED TO SUBMIT THIS WITHIN 3 HOURS!!!!!!
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.

Answers

Answer:

6:8, 3:4

hope this helps, im not sure if im correct tho sorry

Step-by-step explanation:

1/3 divided by 4 what is the awnser for this equation

Answers

Answer:

1/12

Step-by-step explanation:

Hope this helps :)

What is the value of the expression 3b+20 for b=30

Answers

Answer:

110

Step-by-step explanation:

3×30=90

90+20=110

hope this helps

plz can i get brainliest:)

9/2 as a fraction and what is 2/3 reciprocal

Answers

9/2 is already a fraction, and the reciprocal of 2/3 and 3/2

Answer:

9/2 = 4 1/2 , 2/3 = 3/2

Step-by-step explanation:

The reciprocal of a fraction is switching the numerator and the denominator.

2/3, switched is 3/2.

To find the mixed form of an improper fraction, you divide the numerator by the denominator.

Like this, 9/2 = 4.5

4 is the whole.

So, 4 would be the whole number.

Then there is 1 left over.

You keep the denominator.

So it would be 4 1/2.

please help i’ll give brainliest

Answers

Answer:

Fungi and bacteria

Hope that helps!

Step-by-step explanation:

Answer:

fungi and bacteria

Step-by-step explanation:

Find the zeros of the function f(x)=3x2−27.

Answers

Answer:

Step-by-step explanation:

Solve for n. n =
Fast plz

Answers

Answer:

Step-by-step explanation:

360 degrees, so 2+6+5+2=15

360/15=24

n=24

☽. can someone help me <3?

Answers

Answer:

84.9

Step-by-step explanation:

What is the surface area of the prism in square centimeters

Answers

Ok I just have the phone number for my dad to go it

Pls answer quick!
Choose the correct simplification of the expression (a^2/b^5)^3
A. a to the 6th power over b to the 15th power

B. a to the 5th power over b to the 8th power

C. a over b to the 15th power

D. a6b15

Thanks <3

Answers

Answer:

D.......................

To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).

Answers

Answer:

it costs 7-8$ per hour

Step-by-step explanation:

the answer is estimated

How would you show a rate of change of 3.5 meters per minute on a graph?

Answers

Answer:

i don't know

Step-by-step explanation:

Nine more than the product of a number and 3 is equal to 7.

Answers

Answer:

This phrase translates to the mathematical expression:

9 + (N x 3) = 7

If you want to solve for the missing number,

N x 3 = -2

N = -2/3

HELP HELP HELP HELP

Answers

Answer:

Step-by-step explanation:

help me just

plz

hmmm

or let me die

Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?

Answers

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

[tex]a=75,700[/tex]

[tex]r=\dfrac{4.3}{100}[/tex]

[tex]r=0.043[/tex]

The required exponential decay formula is:

[tex]y=75,700(1-0.043)^t[/tex]

Therefore, the value of r in the exponential decay formula is 0.043.

how to do this question

Answers

9514 1404 393

Answer:

7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

1.8 = A₀·b²

n=3

2.4 = A₀·b³

Dividing the second equation by the first gives ...

2.4/1.8 = (A₀·b³)/(A₀·b²) = b

4/3 = b

(b) Substituting this into the first equation, we can find A₀.

1.8 = A₀·(4/3)²

1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

1.0125·(4/3)^n = 7

(4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

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Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).​

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Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).