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
PIT_PIT [208]
3 years ago
13

Find an equation for the perpendicular bisector of the line segment whose endpoints are ( − 1 , − 1 ) (−1,−1) and ( 9 , 7 ) (9,7

)
Mathematics
2 answers:
SIZIF [17.4K]3 years ago
5 0

Answer:

y = - \frac{5}{4} x + 8

Step-by-step explanation:

The perpendicular bisector intersects the line segment at its midpoint and is perpendicular to it.

Using the midpoint formula

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

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

midpoint = ( \frac{-1+9}{2}, \frac{-1+7}{2} ) = ( \frac{8}{2}, \frac{6}{2} ) = (4, 3 )

Calculate the slope using the slope formula

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

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

m = \frac{7-(-1)}{9-(-1)} = \frac{7+1}{9+1} = \frac{8}{10} = \frac{4}{5}

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{4}{5} } = - \frac{5}{4} , then

y = - \frac{5}{4} x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = - 5 + c ⇒ c = 3 + 5 = 8

y = - \frac{5}{4} x + 8 ← equation of perpendicular bisector

Hunter-Best [27]3 years ago
3 0

Answer:

Place the compass at one end of line segment.

Adjust the compass to slightly longer than half the line segment length.

Draw arcs above and below the line.

Keeping the same compass width, draw arcs from other end of line.

Place ruler where the arcs cross, and draw the line segment.

You might be interested in
The formula F = 1.8C + 32 allows you to find the Fahrenheit (F) temperature for a given Celsius (C) temperature. Solve the equat
Slav-nsk [51]

Answer:

The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:

C=\frac{F-32}{1.8}

Step-by-step explanation:

Given formula:

F=1.8C+32

where F represents temperature in Fahrenheit and C represents  temperature in Celsius.

To solve the equation for C.

Solution:

We have,

F=1.8C+32

Subtracting both sides by 32.

F-32=1.8C+32-32

F-32=1.8C

Dividing both side by 1.8

\frac{F-32}{1.8}=\frac{1.8C}{1.8}

\frac{F-32}{1.8}=C

∴ C=\frac{F-32}{1.8}

Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.

6 0
3 years ago
4. Which of the following is not true of saliva?
erik [133]

Answer: c

Step-by-step explanation:

ok so it doesn't contain  moisten in food

7 0
2 years ago
Carrie works as a library assistant in Orpington
lukranit [14]

Answer:    343.6875 US$

Step-by-step explanation:

(US$ 9.75) x (35 1/4) =

4 0
3 years ago
What are the zeros of the function below? Check all that apply.
siniylev [52]
If the function is:
f (x ) = 5 ( x +2 ) / ( 3 ( x-1 ) ( x - 7) then for: f ( x ) = 0
5 ( x + 2 ) = 0
x + 2 = 0
x = -2
Answer: E ) -2 ( only )  
4 0
3 years ago
8+30\2+4=27 put parentheses so it can equal 23 and 13
zhannawk [14.2K]

Answer:

correct anwer=27

Step-by-step explanation:

the anwer for this equation comes out to be 27. As simple as it becomes on applying paranthesis to this equation therefore we get

8+(30/2)+4=27

we need to apply the paranthesis using the method of BODMAS.

which favours division over addition.

therefore,correct anwer is 27 and not 13

6 0
3 years ago
Other questions:
  • jose buys a new moped. he travels 3km south and then 4 km east. how far does he need to go get back to where he started
    7·1 answer
  • Classify the following traingle
    5·2 answers
  • Which graph shows the solution set for -1.1x+ 6.4> -1.3
    8·2 answers
  • Given: If a parallelogram has 4 congruent sides, then it is a rhombus. In Parallelogram ABCD, AB = BC = CD = DA What can you con
    10·2 answers
  • The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point (x, 3/(7 − x)), use your calculator to find the slope
    15·1 answer
  • Express the polynomial 6e^2+3e^3+1 in standard form and then classify it.
    13·1 answer
  • Is this correct??????????????????????????????????????
    12·1 answer
  • A plan to expand megans room will make the length 140% what will be the new length of the room?
    9·1 answer
  • Help quick pls!!!! And ty!!
    11·1 answer
  • The function a(b) relates the area of a trapezoid with a given height of 12 and
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!