Mathematics: Find the other endpoint of a segment on a coordinate plane when one endpoint is (5, 7) and the midpoint is (-2, -1).

Find the other endpoint of a segment on a coordinate

namdh6086

01.10.2021

The value of uw is 67

Step-by-step explanation:

Given that,

If uw= 6x-35...(I)

Line segment consists of points u,v,w

u to v is 19

v to w is 4x-20

We need to calculate the value of x

Using given data

uw=6x-35

uv+vw=6x-35

Put the value of u and w

19+4x-20=6x-35

19+35-20=6x-4x

34=2x

$x=\dfrac{34}{2}$

x=17

We need to calculate the value of uw

Put the value of x in equation (I)

$uw=6\times17-35$

uw=67

Hence, The value of uw is 67

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