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garik1379 [7]
4 years ago
15

Find the point-slope equation of the line using the point (1,2) and the slope of 3/2​

Mathematics
1 answer:
Leokris [45]4 years ago
5 0

Point slope form: y - y1 = m(x - x1)

(x1, y1) = a point

m = slope

We are given:

(x1, y1) = (1, 2)

m = 3/2

Put into the original equation:

y - 2 = 3/2(x - 1)

Best of Luck!

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In regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample point the sample space S for
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Answer:

i) There are 40320 possible orders

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Step-by-step explanation:

Given: The number of finalists = 8

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To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!

The number of possible orders = 8!

= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

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ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.

nPr =\frac{n!}{(n - r)!}

Here n = 8 and r = 3

Plug in n =8 and r = 3 in the above formula, we get

8P3 = \frac{8!}{(8 - 3)!}

= \frac{8!}{5!} \\= \frac{1.2.3.4.5.6.7.8}{1.2.3.4.5}

= 6.7.8

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