Question 598640
Hi, there--
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One way to solve this problem is to find the midpoint between (10,-8) and (6,0). Then find the midpoint between THAT point and (6,0). [one-half plus one-half of one-half is 1/2 + 1/4 = 3/4.]
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[I] Find midpoint from(10,-8) to(6,0) by using the Midpoint Formula.
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{{{x[m]=(x[1]+x[2])/2}}}
{{{x[m]=(10+6)/2=16/2=8}}}
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{{{y[m]=(y[1]+y[2])/2}}}
{{{y[m]=(-8+0)/2=-8/2=-4}}}
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The midpoint from (10,-8) to (6,0) is (8,-4).
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[II] Find the midpoint from (8,-4) to (6,0).
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{{{x[m]=(x[1]+x[2])/2}}}
{{{x[m]=(8+6)/2=14/2=7}}}
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{{{y[m]=(y[1]+y[2])/2}}}
{{{y[m]=(-4+0)/2=-4/2=-2}}}
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The midpoint midway from (8,-4) to (6,0) to (7,-2).
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The answer is C.
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Best!
Ms.Figgy
math.in.the.vortex@gmail.com