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kramer
3 years ago
7

IfA=(-2,-4) and B=(-8,4), what is the length of AB?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

<h2>10 units </h2>

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

ab =  \sqrt{(x2 - x1) ^{2}  +  {(y2 - y1)}^{2} }  \\  \:  \:  \:  \:  =  \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4))  ^{2} }  \\  \:  \:  \:  =  \sqrt{( - 8 + 2) ^{2} +  {(4 + 4)}^{2}  }  \\  \:  \:  \:  =  \sqrt{( - 6) ^{2} +  {(8)}^{2}  }  \\  \:  \:  =   \sqrt{36 + 64}  \\  \:  \:  \:  =  \sqrt{100}  \\  \:  \:  \:  =  \sqrt{ {(10)}^{2} }  \\  \:  \:  \:  \:  = 10 \: units

Hope this helps..

Good luck on your assignment

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