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
yan [13]
3 years ago
7

Write an equation of the perpendicular bisector of the segment with endpoints G 9,8       and H 3,2      .

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

y = -x + 11

Step-by-step explanation:

The equation of a straight line is is given by:

y = mx + b; where m is the slope and b is the y intercept

The equation of the line joining G(9, 8) and H(3, 2) is given as:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-8=\frac{2-8}{3-9}(x-9)\\\\y-8=x-9\\\\y=x-1

The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).

Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:

x = (9 + 3)/2 = 6

y = (8 + 2)/2 = 5

The midpoint = (6, 5)

Two lines are perpendicular if the product of their slopes is -1.

The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.

This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:

y-y_1=m(x-x_1)\\\\y-5=-1(x-6)\\\\y-5=-x+6\\\\y=-x+11

The equation of the perpendicular bisector is y = -x + 11

You might be interested in
The diagram shows the dimensions of the pool cover for a hotel pool. find the area of the pool cover
Scrat [10]

Answer:

b, the area is 978 square inches.

Step-by-step explanation:

Just do it step by step, and one polygon at a time.

5 0
2 years ago
HELP ME THANKS ;) for number 1 through 11 QUICKLY
stiv31 [10]
1>>g
2>>e
3>>h
4>>f
5>>b
6>j
7>>k
8>>c
9>>I
10>>d
11>>a
;)
4 0
3 years ago
Really need help on this too ASAP thanks for whoever helps me
geniusboy [140]

Answer:

D 45

Step-by-step explanation:

90/2 = 45

135/3 = 45

180/4 = 45

4 0
3 years ago
Branliest and 30 points
nignag [31]
1.
(3/4)^2 = (3/4)* (3/4)
(3/4)*(3/4)= 9/16

Final answer: 9/16

2.
11+6.4= 17.4

Final answer: 17.4

3.
9.5-2.8= 6.7

Final answer: 6.7
3 0
3 years ago
Read 2 more answers
What is the measure of X?
AnnZ [28]

Answer:

A. 25.7°

Step-by-step explanation:

the sum of straight angle is 180°.

so, i subtract 154.3 from 180.

i get 25.7 °

3 0
3 years ago
Other questions:
  • Please help! Don't understand it!
    10·1 answer
  • The concept of determining which reactant is limiting and which is in excess is akin to determining the number of sandwiches tha
    13·1 answer
  • How do I factor-<br> EX 4x^2+7x - 15 = 0
    10·1 answer
  • April claims that 1 + cos2(theta) / sin2(theta)= 1 / sin2(theta) is an identity for all real numbers thetatheta that follows fro
    7·1 answer
  • The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x
    15·2 answers
  • F(x)=x^2. What is g(x)?
    11·1 answer
  • 2. Use factoring to determine the x-intercepts and vertex of the quadratic function
    11·1 answer
  • La suma de los cuadrados de tres numeros conseutivos es 194
    8·1 answer
  • Complete the given table for the equation 2x+y = 8
    11·1 answer
  • Solve for x.<br> Enter your answer in the box.<br> X=
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!