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
marishachu [46]
3 years ago
10

The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is

(root of 10) units.
The coordinates of point C are (-6, 2) (5, 2) (6, -2) (10, 4) . The slope of is -3 -1/3 1/3 3 . The possible coordinates of point D are (4, 5) (5, 5) (6, 5) (8, 3) and (2, 1) (4, -1) (5, -1) (6, -1) .
Please pick 1 answer for all the questions

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0
Comment
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB

Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2 
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer


Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3

Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3   <<<<< Slope CD Answer

Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13

Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2 
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
 
x2 = 6 or
x2 = 4

Using y2 = 3x - 13
for x2  = 4
then y2 = 3(4) - 13
y2 = - 1

for x2 = 6
y2 = 3*6 - 13
y2 = 5

Possible Answers  for D
D = (4,-1)
D = (6,5)

I've included a graph to show a graphical solution. 

Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.

You might be interested in
7. Find the rate of change from the table.
hichkok12 [17]

Answer:

multiplying 2 then dividing

Step-by-step explanation:

4 0
2 years ago
Rename 2/5 as a percent_______________________
loris [4]

It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A <em>cent</em>ury is 100 years.)

Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.

(2/5)×(20/20) = 40/100 = 40%

You can also get there via decimals.

... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%

Or, you can multiply by 100%.

... (2/5)×(100%) = (200/5)% = 40%

7 0
2 years ago
True or false to begin an indirect proof, you assume the opposite of what you intend to prove is true
damaskus [11]

Answer:

true

Step-by-step explanation:

you must assume its false and if said statement leads to an impossibility then its proved to be true

7 0
3 years ago
Read 2 more answers
In the figure above, are &lt;3 and &lt;7 alternate interior angles,
icang [17]

Answer:

Corresponding angles

Step-by-step explanation:

<3 and <7 lie on the same side of the transversal line. Each angle also is located on the outside of each parallel lines cut across by the transversal.

Therefore, <3 and <7 are corresponding angles.

7 0
3 years ago
Simplify the expression:<br> 2(2 + 7b) =
nikitadnepr [17]

Answer:

4 + 14b

Step-by-step explanation:

First, you need to distribute so,

2*2= 4   and

2*7b= 14b

4 0
3 years ago
Other questions:
  • PLEASE HELP ME VERY URGENT 20 points Part A: Factor 3x2a2 − 5xa2 − 2a2. Show your work. (4 points) Part B: Factor x2 − 10x + 25.
    5·1 answer
  • Two cars are moving away from an intersection along roads that make a 90 degree angle. The first car is 100 feet from the inters
    14·1 answer
  • What is the radius of Circle C?
    12·1 answer
  • Which of the sets of ordered pairs represents a function?
    14·2 answers
  • Tracy works at North College as a math teacher. She will be paid $900 for each credit hour she teaches. During the course of her
    12·1 answer
  • (2x + 536 W<br> (4x -- 25)"<br> Find m
    11·1 answer
  • 5 STARS AND 20 POINTS PLEASE HELP ASAP
    8·1 answer
  • Please help!!
    6·2 answers
  • The quotient of 17 and z
    11·1 answer
  • Write an equation in slope-intercept form for the following line:<br><br> (-17,-4) and (-7,-13)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!