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son4ous [18]
3 years ago
11

AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?​

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Given a slope m, the slope m' of a line perpendicular to m is the opposite of the inverse of m

In other words:

mm' = -1 \iff m' = -\dfrac{1}{m}

So, the slope of CD is -5/2.

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What are the first and last terms of this geometric series
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ANSWER

E. 10 and 640


EXPLANATION


The given series is

\sum_{i=1}^45 \times 2^{2i-1}


To find the first term of the series we substitute i=1 to get,


a_1 = 5 \times  {2}^{2 \times 1 - 1}


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For the last term of the series, we substitute i=4 to obtain,

a_4 = 5 \times  {2}^{2 \times 4 - 1}


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This implies that,


a_4 = 5 \times  128 = 640


Therefore the correct answer is E
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