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
astra-53 [7]
3 years ago
11

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:
Mrac [35]3 years ago
3 0
<span>The coordinates of point C are ((2 + 8)/2, (3 + 1)/2) = (10/2, 4/2) = (5, 2).
The slope of CD is -1/((1 - 3)/(8 - 2)) = -1/(-2/6) = -1/(-1/3) = 3.
Let the cordinates of D be (a, b) then
sqrt((a - 5)^2 + (b - 2)^2) = sqrt(10)
a^2 - 10a + 25 + b^2 - 4b + 4 = 10
a^2 + b^2 - 10a - 4b = -19 . . . (1)
Also, (b - 2)/(a - 5) = 3
b - 2 = 3a - 15
b = 3a - 13 . . . (2)
Putting (2) into (1) gives:
a^2 + (3a - 13)^2 - 10a - 4(3a - 13) = -19
a^2 + 9a^2 - 78a + 169 - 10a - 12a + 52 = -19
10a^2 - 100a + 240 = 0
a^2 - 10a + 24 = 0
(a - 4)(a - 6) = 0
a = 4 or a = 6
When a = 4, b = 3(4) - 13 = 12 - 13 = -1
When a = 6, b = 3(6) - 13 = 18 - 13 = 5

Therefore, the possible coordinates of point D are (6, 5) and (4, -1)</span>
You might be interested in
What is the answer to this question I can’t work it out Ni=n02(yi-yo)/t2
mr_godi [17]

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is t=\frac{\sqrt{y_i-y_o}}{N}

<h3>How to change the subject of the equation</h3>

The equation is given as:

N=\sqrt[2]{\frac{y_i-y_o}{t^2}}

Rewrite the equation as:

N=\sqrt{\frac{y_i-y_o}{t^2}}

Evaluate the square root of t^2

N=\frac{\sqrt{y_i-y_o}}{t}

Multiply both sides by t

Nt=\sqrt{y_i-y_o}

Make t the subject, in the above equation

t=\frac{\sqrt{y_i-y_o}}{N}

Hence, the equation of t is t=\frac{\sqrt{y_i-y_o}}{N}

Read more about subject of formula at:

brainly.com/question/657646

6 0
2 years ago
Which shows the use of the associative property?
aivan3 [116]

Answer:

B shows the associative property

6 0
2 years ago
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If
vesna_86 [32]

Answer:

<h2>The probability is 58 %.</h2>

Step-by-step explanation:

This problem belong to a normal distribution probability.

Mean = 63.6

Standard Deviation = 2.5.

We have to find the probability of a height greater than 63.0.

Due to the normal probability, we need to find the Z score first:

Z=\frac{x-u}{o}; where x is the height, u is the mean, and o is the standard deviation.

Z=\frac{63-63.6}{2.5} \\Z= -0.24

Once we have our Z score, we find the probability with the z-table (attached). So, for a z score of -0.24 we have a probability of 0.42.

But, the problem is asking for height greater than 63.0, this mean that we have to subtract 0.42 from 1, giving as result 0.58, which means a 58% of probability,

6 0
3 years ago
Absolute value of 15 ​
mixer [17]

Answer:

15

Step-by-step explanation:

The absolute value takes any value and makes it positive.

|15| = 15

8 0
3 years ago
Read 2 more answers
PLZ HELP! QUESTIONS ARE BELOW! :D
harkovskaia [24]

Answer:

1) 243 in.²

Step-by-step explanation:

1)

A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²

8 0
3 years ago
Other questions:
  • Using the order of operations, what should be done first to evaluate 12 divided by (negative 6) (3) + (negative 2)? Divide 12 by
    6·2 answers
  • 50 PTS
    12·1 answer
  • WILL MARK BRAINYIEST!!!
    5·2 answers
  • Which choice explains the correct way to move the decimal point to find the quotient in the problem 265.786 ÷ 10? A. 2 places to
    11·2 answers
  • Let F(x) = 3x + 5 and g(x) = x^2
    5·1 answer
  • What is the exact volume of the cylinder?
    9·1 answer
  • Ray does chores every day for a small allowance.he earns 1.50 a day for washing the dishes and x dollar a day taking out trash
    9·1 answer
  • FIND THE EQUATION OF THE LINE SHOWN: QUICK I NEED TO SUMBIT MY HW
    6·2 answers
  • Which expression shows the number 19.65 correctly decomposed?
    14·1 answer
  • If Hiawatha who is 24 is 75% as old as Itzel, how old would Hiawatha be at 25% and 100% of Itzels age.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!