I think the answer is B. 55. Butbi would cheat to make sure.
9514 1404 393
Answer:
(6, 4)
Step-by-step explanation:
The midpoint is found as the average of the coordinates of the end points.
M = (A +B)/2
M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2
M = (6, 4)
The midpoint of segment AB is (x, y) = (6, 4).
Solve for m:
1.6 m - 4.8 = -1.6 m
Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m
1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0
1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0
Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8
4.8 - 4.8 = 0:
3.2 m = 4.8
Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2
3.2/3.2 = 1:
m = 4.8/3.2
4.8/3.2 ≈ 1.5:
Answer: m ≈ 1.5
Answer:
yes
Step-by-step explanation:
you did it right
Answer:
C = (2,2)
Step-by-step explanation:
B = (10 ; 2)
M = (6 ; 2)
C = (x ; y )
|___________|___________|
B (10;2) M (6;2) C ( x; y)
So:
dBM = dMC
√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]
(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2
0 + (-4)^2 = (y-2)^2 + (x - 6)^2
16 = (y-2)^2 + (x - 6)^2
16 - (x - 6)^2 = (y-2)^2
Also:
2*dBM = dBC
2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]
4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2
4*(16) = (y-2)^2 + (x - 10)^2
64 = (y-2)^2 + (x - 10)^2
64 = 16 - (x - 6)^2 + (x - 10)^2
48 = (x - 10)^2 - (x - 6)^2
48 = x^2 - 20*x + 100 - x^2 + 12*x - 36
48 = - 20*x + 100 + 12*x - 36
8*x = 16
x = 2
Thus:
16 - (x - 6)^2 = (y-2)^2
16 - (2 - 6)^2 = (y-2)^2
16 - (-4)^2 = (y-2)^2
16 - 16 = (y-2)^2
0 = (y-2)^2
0 = y - 2
2 = y
⇒ C = (2,2)
