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Mrac [35]
2 years ago
11

Find x. Write your answer in simplest radical form.

Mathematics
1 answer:
Leokris [45]2 years ago
6 0

Answer:

x = 3\sqrt{11}

Step-by-step explanation:

Using Pythagorean Theorem we can say;

15² + x² = 18²

225 + x² = 324

x² = 99

x = \sqrt{99}

To simplify this in the radical for we can say:

\sqrt{9*11}

\sqrt{9}*\sqrt{11}

3\sqrt{11}

So the answer = 3\sqrt{11}

Hope this helps!

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a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000​
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2 years ago
Which equations represent the asymptotes of the hyperbola (x-1)^2/36-(y-2)^2/64=1 ?
allochka39001 [22]

Answer:

4x+3y=10 and  4x-3y=-2

Step-by-step explanation:

The asymptote equation of a translate hyperbola with equation \frac{(x-h)^2}{b^2}-\frac{(y-k)^2}{a^2}=1 is y=\pm\frac{b}{a}(x-h)+k

The given hyperbola has equation: \frac{(x-1)^2}{36}-\frac{(y-2)^2}{64}=1

Or \frac{(x-1)^2}{6^2}-\frac{(y-2)^2}{8^2}=1

Comparing to \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

We have  a=6 and b=8, h=1 and k=2.

We substitute this values to get:

y=\pm\frac{6}{8}(x-1)+2

y=\pm\frac{4}{3}(x-1)+2

3y=\pm4(x-1)+6

We split the plus or minus sign to get:

3y=4x-4+6

3y=4x+2

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Or

3y=-4(x-1)+6

3y=-4x+4+6

3y+4x=10

5 0
3 years ago
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