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denpristay [2]
3 years ago
8

Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi

nt formula to find the other endpoint.) R (8, 0 ) and M (4, -5 )
Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Using the given endpoint R  (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10

So other endpoint S is (0,-10)

Learn more : brainly.com/question/16829448

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<em>Comment on the solution</em>

We solved for q, then had to do an extra step to find the value of n that the problem asks for. Had we written q = 200-n and used that for substitution, we would have ended with the equation -20n = -2000. This would give the answer for n directly (with no additional steps required).

Sometimes working with negative numbers is uncomfortable or results in errors, so we chose to use the solution method that would avoid negative numbers.

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