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
maria [59]
3 years ago
15

M(8, 5) is the midpoint of JK. The coordinates of point J are (5, −6) . What are the coordinates of point K? Enter your answer i

n the boxes. ( , )
Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Answer:

(11,16)

Step-by-step explanation:

Hello

if you have two points , the midpoint is given by:

P1(x_{1},y_{1} )\\P2(x_{2},y_{2})\\\\Midpoint(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\

Step 1

Let

P1=J(5,-6)

Midpoint=M(8,5)

P2=k=?

Midpoint(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\so\\\\M(8,5)=(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\Hence\\8=\frac{x_{1}+x_{2}}{2}\ and\ 5=\frac{y_{1}+y_{2}}{2}\\now\ replacing\ P1\\\\\\P1=J(5,-6)\\x_{1}=5\\y_{1}=-6\\  8=\frac{5+x_{2}}{2}\ \\\ 5=\frac{-6+y_{2}}{2}\\

Step 2

solve for X(2)

8=\frac{5+x_{2}}{2}\ \\\ \\\\8*2=5+x_{2} \\16-5=x_{2} \\x_{2} =11

Step 3

solve for y(2)

5=\frac{-6+y_{2}}{2}\\5*2=-6+y_{2}\\10+6=y_{2}\\y_{2}=16

Hence the coordinates are

K(11,16)

Have a good day

Mice21 [21]3 years ago
6 0
Let the coords of K be (x,y).
The midpoint is the average of the coords of the endpoint. So 8=(5+x)/2, making x=11. And 5=(-6+y)/2 making y=16.
So K is (11,16).
You might be interested in
PLEASE HELP ASAP!!! (Directions: Find the surface area of the prism) #5.
topjm [15]
SA= bh+2ls+lw
SA= 26*10 +40*26(2)+40*10
SA=260+1040(2)+400
SA=260+2080+400
SA=2740
5 0
3 years ago
Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.
Hoochie [10]

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

8 0
3 years ago
(pls ignore this. XXXXX)
Gelneren [198K]

Answer:

..................................

6 0
2 years ago
Read 2 more answers
E
8_murik_8 [283]
It was a 15 percent tip
8 0
3 years ago
Read 2 more answers
Whose solution strategy would work?
Serjik [45]

Answer:

1452628383763637£838

4 0
3 years ago
Read 2 more answers
Other questions:
  • Four angles of a pentagon have measures of 85°, 90°, 95°, and 110°. The smallest of all the exterior angles measures is
    14·1 answer
  • Michales basketball team practiced for 2 hours and 40 minutes yesterday and 3 hours and 15 minutes today go much longer did the
    10·1 answer
  • The number of sweets in 25 bags has a mean of 30 and standard deviation of 3. In a special promotion, the manufacturer doubles t
    11·1 answer
  • Which is the equation of a line that has a slope of Negative two-thirds and passes through point
    15·2 answers
  • When the solution of x2 + 9x - 9 is expressed as
    7·1 answer
  • Find x to the nearest tenth
    9·1 answer
  • Question<br> Example<br> Step by Step<br> In kite ABCD, mZBAE = 28° and mZBCE = 58°. Find mLABE.
    9·1 answer
  • 1+1 What's the correct answer in binary​
    12·1 answer
  • Simplify the following to standard form
    5·1 answer
  • Help me if you can please?? and thanks! :)))​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!