The known endpoint is P = (-16,0)
Let Q = (x,y) be the other endpoint. It is unknown for now.
Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0).
So we have this equation (-16+x)/2 = 0. Let's solve for x
(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16
Therefore the x coordinate of point Q is 16.
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Let's do something similar for the y coordinates.
The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16
Solve for y
(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32
The y coordinate of point Q is -32
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The point Q goes from (x,y) to (16, -32)
Final Answer: (16, -32)
Answer:
length = 2x = 2(9) = 18 yds
Step-by-step explanation:
Let width = x
Let length = 2x
Area = 162 yd2
length × width = Area
2x(x) = 162
2x2 = 162
Divide by 2 on both sides of equation.
x2 = 81
Square-root both sides of equation to undo the exponent.
x = √(81)
x = 9
Substitute this x value into the initial variables.
width = x = 9 yds
length = 2x = 2(9) = 18 yds
The volume of the figure is since you have to do width times heigh so 25 times 8 which would be 200 as your answer.
Its the answer 764 so the surface area would be 764
