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
Softa [21]
3 years ago
8

The midpoint M of CD has coordinates (2, 5). Point C has coordinates (4, 3). What are the coordinates of point D?

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

The coordinates of point D is (0, 7)

<h3><u>solution:</u></h3>

The midpoint M of CD has coordinates (2, 5)

Point C has coordinates (4, 3)

To find: coordinates of point D

The midpoint of line AB conatining points (x_1, y_1) and (x_2, y_2) is given as:

\text {midpoint}(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here in this problem,

Midpoint (C, D) = (2, 5)

point C (x_1, y_1) = (4, 3)

\text {point } D\left(x_{2}, y_{2}\right)=?

Subsituting the values in formula we get,

(2,5)=\left(\frac{4+x_{2}}{2}, \frac{3+y_{2}}{2}\right)

On comparing both the sides we get,

2=\frac{4+x_{2}}{2} \text { and } 5=\frac{3+y_{2}}{2}

\begin{array}{l}{4=4+x_{2} \text { and } 10=3+y_{2}} \\\\ {\text {Therefore } x_{2}=0 \text { and } y_{2}=7}\end{array}

Thus the coordinates of point D is (0, 7)

You might be interested in
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each
EastWind [94]
Yup its 109 thats how much it ways

3 0
3 years ago
Kimuyen needs to earn $4,150 per month in order to pay all her expenses. Her job pays her $3,475 per month plus a commission of
ASHA 777 [7]

Answer:

Step-by-step explanation:

16,875

8 0
3 years ago
Read 2 more answers
Solve for given variable​
Ilya [14]
X = 180 - 90 - 59 = 31
4 0
3 years ago
What the distance between points 3,2 &amp; 9,5??
Georgia [21]

Answer:

the difference is 1 and 4

Step-by-step explanation:

hope this helps

5 0
3 years ago
30 POINTS
Bumek [7]

Answer:

A:triangular prism?!!

5 0
3 years ago
Other questions:
  • How to find the shaded region of a circle with a rectangle inside?
    15·1 answer
  • Find the y-intercept for the line represented by the following equation. y=4/3-8
    9·1 answer
  • What is y equal to ?
    13·1 answer
  • A group of mountain climbers beginner expedition with 250 pounds of food they play to be a total of 12 pounds of food per day ri
    6·1 answer
  • Need answers to these <br> ..x..= 99 +99 <br> 3a+3a=...x3a=.....<br> 3x11+3x19=.....x....
    9·1 answer
  • Round 1.35 to the nearest whole number.
    8·1 answer
  • Please help. im stuck on this one ​
    8·1 answer
  • Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store
    5·1 answer
  • 50 is ____________ times as large as 5.
    10·2 answers
  • The quadratic function f(x)=ax^2+4x+c has a maximum at the point (1, 9) . What are the values of a and c?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!