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dusya [7]
4 years ago
6

Exercise

Mathematics
1 answer:
Maurinko [17]4 years ago
6 0
X - nominator
y - denominator

\frac{3x}{y+12}=\frac{3}{4}\\
\frac{x+7}{3y}=\frac{1}{2}\\\\
3(y+12)=12x\\
2(x+7)=3y\\\\
3y+36=12x\\
2x+14=3y\\\\
2x+14+36=12x\\
10x=50\\
x=5\\\\
3y=2\cdot5+14\\
3y=10+14\\
3y=24\\
y=8\\\\
\frac{x}{y}=\boxed{\frac{5}{8}}
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Evaluate Combination (6,6)
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Answer:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

Step-by-step explanation:

The utility for the combination formula is in order to find the number of ways to order a set of elements

For this case we want to find the following expression:

6C6

And the general formula for combination is given by:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

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Answer:

Slope = 2 Y-Intercept = (0, 3)

Step-by-step explanation:

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For the purpose of getting the slope I will be using point (0, 3) as point 1

and point (-3, -3) as point 2.

If you plug in 0 as x1, 3 as y2, -3 for x2, and -3 for y2:

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