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3 years ago

9

What is the value of x? Enter your answer in the box. x = ___

1 answer:

lapo4ka [179]3 years ago

5 0

Answer:

x=8

Explanation:

The picture tells us that the triangle is equilateral (this means that each angle is 60°). We can assume this because each side has been marked with the same line.

Because each angle is equal to 60°, this means that:

7x+4=60

Now solve for x:

7x=56
x=8

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Read 2 more answers

Someone please help me answer this

WARRIOR [948]

The given triangle is a <em><u>Right</u></em><em><u> </u></em><em><u>angled</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em>

<em><u>So</u></em><em><u>,</u></em><em><u> </u></em>by applying<em><u> Pythagoras theorem</u></em> :

here's the solution,

=》

$13 {}^{2} = b {}^{2} + 5 {}^{2}$

=》

${b}^{2} = 13 {}^{2} - {5}^{2}$

=》

${b}^{2} = 169 - 25$

=》

${b}^{2} = 144$

=》

$b = \sqrt{144}$

=》

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3 years ago

Determine the domain:<br><br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7Bln%28ln%28x%20%2B%201%29%29%7D%7Be%

Xelga [282]

The denominator cannot be zero, so

$e^x - 9 = 0 \implies e^x = 9 \implies x = \ln(9)$

is not in the domain of $f(x)$ .

$\ln(x)$ is defined only for $x>0$ , and we have

$\ln(x+1) > 0 \implies e^{\ln(x+1)} > e^0 \implies x+1 > 1 \implies x>0$

so there is no issue here.

By the same token, we need to have

$x+1 > 0 \implies x > -1$

Taking all the exclusions together, we find the domain of $f(x)$ is the set

$\left\{ x \in \Bbb R \mid x > 0 \text{ and } x \neq \ln(9)\right\}$

or equivalently, the interval $(0,\ln(9))\cup(\ln(9),\infty)$ .

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2 years ago