1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firdavs [7]
2 years ago
15

Please help asap!!! i dont understand it

Mathematics
1 answer:
pshichka [43]2 years ago
7 0

Answer:

a

Step-by-step explanation:

A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)

m = \frac{13-1}{9-(-7)} = \frac{12}{9+7} = \frac{12}{16} = \frac{3}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{4} } = - \frac{4}{3} ←  slope of perpendicular bisector

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(\frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then

midpoint = ( \frac{-7+9}{2}, \frac{1+13}{2} ) = ( \frac{2}{2}, \frac{14}{2} ) = (1, 7 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{4}{3} , then

y = - \frac{4}{3} x + c ← is the partial equation

To find c substitute the midpoint (1, 7) into the partial equation

7 = - \frac{4}{3} + c ⇒ c = \frac{21}{3} + \frac{4}{3} = \frac{25}{3}

y = - \frac{4}{3} x + \frac{25}{3} ← equation of perpendicular bisector

You might be interested in
You have two gifts to buy. You plan to spend no more than $40 on the two gifts combined. You want to spend at least twice as muc
belka [17]

Answer:

If you want to spend no less than $40, and you want to spend twice as much on the first gift (gift x), you can spend $26 on gift x. On the second gift (gift y), you can spend $13. You will spend a total of $39 on both gifts which is less than $40 and have spend twice as much on the first gift as you did the second ($13 x 2= $26).

5 0
2 years ago
636366 what is the area
mixas84 [53]

Answer:

Thats not a full question

Step-by-step explanation:

8 0
3 years ago
Cindy is growing plants for a science project. During the project, one plant grows from a height of 7 cm to 10.85 cm. What is th
Leto [7]

Answer:

Percentage increase in the height is 55%.

Step-by-step explanation:

Since Cindy is growing plants for a science project. During the project Cindy found that one plant grows from 7 cm to 10.85 cm.

We have calculate percent increase in the height of the plant.

We know formula to calculate the percentage is

% Increase in the height = Net increase in the height×100/Initial length of the plant

                                         = \frac{(10.85-7)100}{7}= \frac{(3.85)(100)}{7}=\frac{385}{7}= 55%

Therefore % increase in the height of the plant is 55%.

8 0
3 years ago
A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new s
swat32

Answer:

08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.

3 0
3 years ago
Read 2 more answers
Mason plays a game by flipping two fair coins.He wins the game if both coins land facing heads up. If Mason plays 200 times, how
blagie [28]

Answer:

Therefore Mason would be expected to win 50 times.

Step-by-step explanation:

i) probability of flipping a head for a fair coin is \frac{1}{2}

ii) probability of flipping two fair coins is = \frac{1}{2} \times \frac{1}{2}  = \frac{1}{4}

iii) Therefore if Mason plays 200 times he would be expected to win

    = \frac{1}{4} \times 200 =  50\hspace{0.1cm} times.

7 0
3 years ago
Other questions:
  • My best subject is math, but my favorite subject is science. what type of sentence is this?
    9·1 answer
  • Which is the slope of the line that passes through the points (2,8) and (4,6)?
    6·2 answers
  • Make g the Subject of the formula 3e + 4g = 7 + 9eg
    13·1 answer
  • Police investigating traffic accidents often estimate the speed of a vehicle by measuring
    13·1 answer
  • _______ + 8r2s4 – 3r3s3
    14·1 answer
  • The following dot plots describe the test scores on Mr. Santos final exam.
    13·1 answer
  • Książka w raz z płyta kosztuje 37zl. Płyta jest o 5zl droższa od książki. Ile kosztuje ksiazka a ile płyta
    15·1 answer
  • Plz help with these.
    11·1 answer
  • What is the LCM of 2 and 9
    15·2 answers
  • Genesis has a points card for a movie theater.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!