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
aalyn [17]
3 years ago
14

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno

wn endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
Midpoint (-15,2) endpoint (-12,11)
What is the other endpoint?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

The other endpoint of the​ segment is (-18,-7).

Step-by-step explanation:

The midpoint of the points (x_1,y_1) and (x_2,y_2) is given by the following formula:

                                          (x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}  )

where (x_m,y_m) = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

                                         (-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2}  )

To find x_1 we need to solve this equation:

-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18

and to find y_1 we need to solve this equation:

2= \frac{y_1+11}{2}  \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7

The other endpoint of the​ segment is (x_1,y_1)=(-18,-7).

You might be interested in
CDuc has a trapezoid shaped section of his yard fenced off for his pets. The lengths of the parallel sides of the trapezoid are
GarryVolchara [31]
I hope this helps you



Area =(8+14).4/2


Area =44
8 0
3 years ago
Read 2 more answers
if the arc length of a sector in the unit circle is 3 radians, what is the measure of the angle of the sector?
velikii [3]
Well you see you take the sector and tie it 3 times the radiants which will then answer the question that you seek from within the depths of bones and minds.  
3 0
3 years ago
Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56
nika2105 [10]

Answer:

I think x = 4.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x + x +10 + 5x + 2x + 2 =56

(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)

11x + 12 = 56

11x + 12 = 56

Step 2: Subtract 12 from both sides.

11x + 12 − 12 = 56 − 12

11x = 44

Step 3: Divide both sides by 11.

11x/11 = 44/11

x = 4

7 0
3 years ago
→
Rudiy27
It is 9 degrees because at 6am the temperature was -12 degrees and at 10am the temperature was -3 degrees.
7 0
3 years ago
What's the answer to this problem
Artyom0805 [142]
So you have to subtract 115 from 15. Then you divide that number by 5 for each relative. That should give you your answer....$20
4 0
3 years ago
Other questions:
  • Which equation does the graph below show? y=2x y=1/2x y=1/2+x y=2+x
    6·1 answer
  • Verify that: cos(x+y)cos(x-y)=cos^2x-sin^2y
    15·1 answer
  • Jeremy is saving money from a tutoring job after the first two weeks he said 135 assume the situation is proportionally use the
    14·1 answer
  • How many 1/6 pound hamburger patties can be made from a 8 1/2 pound package?
    5·1 answer
  • I WILL GIVE YOU BRAINLIEST!!!!!
    5·1 answer
  • Find the output, y, when the input, x, is 7<br><br> Y=2x-3
    13·1 answer
  • Find sin of i need help can u help me
    7·1 answer
  • Karen, Mary and Amy sold candy bars as a fundraiser. Karen sold three more than twice the number of bars Mary sold. Amy sold fiv
    13·2 answers
  • As the manager of the soccer team, Wendy is to hand out cups of water at practice. Each cup of water is 4 ounces. She begins pra
    9·1 answer
  • Please help me out I am not very good at math or graphs.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!