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mario62 [17]
3 years ago
11

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0
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.

------------------------------------

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

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
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3 years ago
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lutik1710 [3]
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using those 2 points you can calculate the length:
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= sqrt 20 
= 2 sqrt(5)  EXACT LENGTH


4 0
3 years ago
Im honestly so confused about this PLEASE help me just give me the right answers plz plz
GREYUIT [131]

Answer:

Step-by-step explanation:

1. is 0.125x – 3.375

2.  0.6x – 5

3. 0.89x-5

Just use a slope calculator and desmos to see if your answer is right. Also a rounding calculator if the answer for one is too long, example: the third one said 0.88888888888889 for the first number so i rounded that to 0.89 to make sure it doesnt look like a computer did it

4 0
2 years ago
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mamaluj [8]
You write the problem as a mathematical expression
3x^2 + 30x + 75 =
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7 0
3 years ago
Read 2 more answers
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LiRa [457]
X equals 135 so it’s 135/5
4 0
3 years ago
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