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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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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

5 0
1 year ago
.01mg is larger than .001g true or false
zloy xaker [14]

Answer

False

Step-by-step explanation:

3 0
3 years ago
What is the area of the shaded region?​
IRINA_888 [86]
20 because of the whole is 40 and the shaded part is by 20 you just take half of 40 and you get 20
3 0
3 years ago
32.) At the end of the
snow_lady [41]

Answer:

60 7/8

Step-by-step explanation:

62 1/2-1 5/8=x

6 0
3 years ago
Read 2 more answers
Please help. Thank you.
Ivenika [448]
There are 24 Faces. 
bc-
 V = 14,  E = 36,  F = ?
F + 14 - 36 = 2
F - 22 = 2
F = 24
8 0
3 years ago
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