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
nadezda [96]
2 years ago
13

B is the midpoint of AC, E is the midpoint of BD. If A(-9,-4), C(-1,6), and E(-4,-3), find the coordinates of D

Mathematics
1 answer:
Vadim26 [7]2 years ago
8 0

Answer:

(-3, -7)

Step-by-step explanation:

Let (x_{A,}y_{A}),(x_{B},y_{B}),(x_{C,}y_{C}),(x_{D,}y_{D})(x_{E,}y_{E)} \text{be the coordinates of points A, B, C respectively}\\\\

The midpoint coordinates (x_{M},y_{M}) of any two points (x_{1},y_{1}) and (x_{2},y_{2}) are given by x_{M}=\frac{(x_{1}+x_{2)}}{2} and y_{M}=\frac{y_{1}+y_{2}}{2}

Since B is the midpoint of AC

x_{B}=\frac{(x_{A}+x_{C})}{2}=\frac{(-9+(-1)}{2}=\frac{-9-1}{2}=\frac{-10}{2}=-5

y_{B}=\frac{(y_{A}+y_{C})}{2}=\frac{(-4+6)}{2}=\frac{2}{2}=1

Since E is the midpoint of B and D and we are given the coordinates of E as (-4,-3). it follows that

x_{E}=\frac{x_{B}+x_{D}}{2} = \frac{-4+x_{D}}{2}

Therefore

x_{D}=2x_{E}+4=2(-5)+4=-3

Similarly

y_{E}=\frac{y_{B}+y_{D}}{2} = \frac{1+x_{D}}{2}y_{D}=2y_{E}-1=2(-3)-7=-7

You might be interested in
Can someone pls help and show workings
Fittoniya [83]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and
Llana [10]

Answer: D. Arabella. She has a 0.79 probability of brushing both times.

Step-by-step explanation:

A.P.E.X

7 0
3 years ago
Read 2 more answers
Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and ang
aalyn [17]

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc EH

Remember that the measure of the complete circle is equal to 360 degrees

so

arc\ EH+arc\ EF+arc\ FG+arc\ GH=360^o

Remember that

arc\ EF=m\angle EDF ----> by central angle

arc\ FG=m\angle FDG ----> by central angle

arc\ GH=m\angle GDH ---> by central angle

substitute the given values

arc\ EH+55^o+70^o+110^o=360^o

arc\ EH=360^o-235^o=125^o

step 2

Which arc is congruent to Arc E H?

we know that

arc\ EFG=arc\ EF+arc\ FG=55^o+70^o=125^o

therefore

arc EH is congruent with arc EFG

or

arc EH is congruent with minor arc GE

5 0
3 years ago
Read 2 more answers
Y+3x=8;x=1,0,3 what is answer
Lana71 [14]
The X=1 is Y= 5
The x=0 is Y= 8
The x=3 is Y= -1
6 0
3 years ago
What value should go in the empty box to complete the calculation for finding the product 73.458 × 0.39?
mr Goodwill [35]

Answer:

28.64862

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • If the Statue of Liberty were 325 feet taller, it would be just as tall as Gateway Arch in St.Louis. The height of the Statue of
    13·1 answer
  • Darnell’s house was valued at $134,670 and it appreciated 3 percent per year. What is its value after 2 year? Round to the neare
    14·2 answers
  • Simplify the expression 4x+6x-11x+2+x2-19
    13·2 answers
  • 3.6 divided by 4 is 0.9 but do I have to round to the nearest tenth? Can u plz tell what I have to round to the nearest tenth
    13·1 answer
  • Solve for x by using the quadratic formula<br><br> X^2+3x+2=0
    9·1 answer
  • Find the area of the figure.<br><br> A) 114 cm2 <br> B) 350 cm2 <br> C) 418 cm2 <br> D) 447 cm2
    10·2 answers
  • In the morning, a farm worker packed 3 pints strawberries every four minutes. In the afternoon, she packed 2 pints of strawberri
    14·1 answer
  • Which statements are true about a triangular pyramid? Check all that apply. It has exactly two faces that are triangles. It has
    9·2 answers
  • PLEASE HELP I AM REALLY CONFUsEd
    5·1 answer
  • Which of the following graphs represents the equation Y -2 equals 3 (x-1)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!