the mid point of (x-y,8)and (2,x+y)is(5,10), then (x,y)=?
Answers
Answered by
1
Answer:(10,2)
Step-by-step explanation:
(5,2)=(x-y,8/2) , (2,x+y/2)
5=x-y+2/2.
10=8+x+y/2
Solve the above equation u will get the answer
Answered by
6
step by step explanation:
by midpoint formula,
x and y coordinate of midpoint=x+x/2,y+y/2
(5,10)=x-y+2/2,8+x+y/2
x-y+2=2×5,x+y+8=10×2
x-y=10-2,x+y=20-8
x-y=8,x+y=12
adding equation
x-y=8
x+y=12
2x=20
x=10
putting x=10 in equation
10-y=8
-y=8-10
y=2
by midpoint formula,
x and y coordinate of midpoint=x+x/2,y+y/2
(5,10)=x-y+2/2,8+x+y/2
x-y+2=2×5,x+y+8=10×2
x-y=10-2,x+y=20-8
x-y=8,x+y=12
adding equation
x-y=8
x+y=12
2x=20
x=10
putting x=10 in equation
10-y=8
-y=8-10
y=2
shankar3688:
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