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Gennadij [26K]
3 years ago
15

How to find the other endpoint of a line when only given the first endpoint and the midpoint?

Mathematics
1 answer:
Schach [20]3 years ago
6 0
If we have a line, and the endpoints are(x₁,y₁) and (x₂,y₂), the midpoint will be:( (x₁+x₂)/2 , (y₁+y₂)/2 );

Data:
Endpoint₁: (2,-3)
Midpoint: (6,6)

Therefore:

(2+x₂)/2=6
2+x₂=12
x₂=12-2
x₂=10

(-3+y₂)/2=6
-3+y₂=12
y₂=12+3
y₂=15

Answer; the other endpoint of a line will be (10,15)


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3 0
3 years ago
Read 2 more answers
Please dont steal points only real answers
morpeh [17]
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Answer: 3000 stamps

Step-by-step explanation:

Given

Chris and Josh have 1800 stamps

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\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000

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