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Mama L [17]
3 years ago
13

two line segments ab and cd, have end points at A ( -5,11) , B( 3,5) , C (9,3) and D (2,10) which of the two lines segments is l

onger ?
Mathematics
1 answer:
Vikki [24]3 years ago
5 0
AB= \sqrt{(-5-3)^2+(11-5)^2} = \sqrt{64+36}= \sqrt{100}=10  \\
CD= \sqrt{(9-2)^2+(3-10)^2} = \sqrt{49+49}= \sqrt{98}\approx  9.9 \\  \\

<span>segment AB is </span>longer than segment CD
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Therefore, we can evaluate the series;

\sum_{k=1}^{6}(25-k^2)

by summing the values of the series within that interval.

the values of the series are evaluated by substituting the corresponding values of k into the equation.

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So, the value of the series;

\sum_{k=1}^{6}(25-k^2) = 59

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4 years ago
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