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
Harrizon [31]
3 years ago
5

For the given line segment, write the equation of the perpendicular bisector.

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

You might be interested in
Which of the following makes this statement true: x(4 + 3) = 12 + 9?
adoni [48]
Answer: B(3)

Explanation: 12+9=21 so since 4+3 only equals 7, you plug in x as 3... since 7x3 is 21 that helps make the statement true bc both equations are equal.
7 0
3 years ago
Read 2 more answers
Simplify the following polynomial expression.<br><br> (5x-7)(9x^​2-4x-8)
mihalych1998 [28]

Your answer will be 70x^2 -138x+56

3 0
3 years ago
James Saw 12 cars and 7 trucks parked at the parking lot. Which one of the following statements is NOT true?
IgorC [24]

Answer:

D is incorrect

Step-by-step explanation: A is correct because there are 12 cars and 7 trucks. B is correct because there are 7 trucks and 12 cars. C is correct because there are 12 cars and 19 total vehicles(7+12=19). D is incorrect because while there are 7 trucks, there are not 12 vehicles in TOTAL.

5 0
3 years ago
Is 0z=2 no solution?
ella [17]

Answer:

No

Step-by-step explanation:

4 0
2 years ago
Cuál lugar es más burro tu eres más burro no importa para nada se espera nada escapes burro no sirve para nada x musique ​
34kurt

Answer:

no se perdon

Step-by-step explanation:

GG

7 0
3 years ago
Other questions:
  • Write -3x^2-18-31 in vertex form.
    7·1 answer
  • Change 0.7 to a common fraction
    12·1 answer
  • A system of two linear equations and three unknowns can be solved by:
    13·1 answer
  • 85,58,72,85,46,93 mean,mode,range,median​
    11·2 answers
  • 245,600,000,000 in scientific notation
    7·1 answer
  • Adams says that the expression 52-3y is equal to 20 when y = 2 explain adams answer is incorrext
    5·1 answer
  • Given u = LeftAngleBracket StartRoot 3 EndRoot, negative 1 RightAngleBracket and v = ⟨3, –4⟩, what is u · v?
    5·2 answers
  • Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box.
    13·1 answer
  • If Tan is 3/4 what is sin?
    11·1 answer
  • Which of the following is equivalent to 5^-9
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!