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
Multiply. 6.421 x 10 = _____ 0.6421 64.21 642.10 6,421
Sonbull [250]

Answer:

Brainliest!!!

Step-by-step explanation:

see picture

3 0
3 years ago
Read 2 more answers
Please do the following step by step ​
r-ruslan [8.4K]

Answer:

look at the picture i have sent

5 0
2 years ago
HELPP!!! I'm supposed to determine if this was answered correct or wrong. What is it? Also please explain it.​
Ann [662]

Answer:

It was answered correctly.

Step-by-step explanation:

Parenthesis means mutiplication so you can do iy rhat way or 4(c)^2=4×c^2.

4 0
3 years ago
Q6: 24 students in a class took an algebra test.
german

Answer:

25%

Step-by-step explanation:

18/24 passed that reduces 3/4.

So 1/4 didn't pass

4 0
3 years ago
Plzzzzz teach this.....<br>I wiil Mark as brainlist answer if correct​
GuDViN [60]
Omg don’t open that file it’s takes all your information
7 0
2 years ago
Other questions:
  • Determine whether the three points A(-2,-1), B(0,4) and C(2,9) all line on the same line.
    13·1 answer
  • Krissy ran three miles one morning she ran the first mile in 11. 74 minutes the second mile in 11. 26 minutes in the third mile
    14·1 answer
  • If anyone would like a quick response to their question im happy to help :) it can be about anything
    8·1 answer
  • Questions – Impulse and Momentum
    11·2 answers
  • A factory produces 5, 836 keyboards each day. If a box holds 20 keyboards, which statement is true?
    14·2 answers
  • Is this figure rigid or flexible?
    11·1 answer
  • A cookie delivery company charges $0.90 per cookie plus a $3 delivery fee. If an
    7·1 answer
  • The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat
    14·1 answer
  • Figure a has 1/3 of its hole shadded enter another fraction equal to 1/3 ASAP 20 PONITS ON THE LINE
    15·1 answer
  • Hello everyone how are ya‘ll help plz<br><br> 23x+4=30
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!