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3 years ago

9

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl

e.
(Write and solve an equation to determine the measure of angle x.)

1 answer:

Lynna [10]3 years ago

4 0

The answer is 50 I believe

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Solve f (x) = 32^x+6•1/2 = 8^x-1

emmainna [20.7K]

Option B: The value of x is -16

Explanation:

Given that the equation $f(x)=32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

We need to determine the value of x.

Let us substitute f(x) = 0, then we have,

$32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

Now, we shall determine the value of x.

The term $8^{x-1}$ can be written as $\left(2^{3}\right)^{x-1}$

Hence, we have,

$32^{x+6} \cdot \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Also, the term $32^{x+6}$ can be written as $\left(2^{5}\right)^{x+6}$

Thus, we have,

$\left(2^{5}\right)^{x+6} \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Applying the exponent rule, $\left(a^{b}\right)^{c}=a^{b c}$ , we have,

$2^{5(x+6)} \cdot \frac{1}{2}=2^{3(x-1)}$

$2^{5(x+6)} \cdot 2^{-1}=2^{3(x-1)}$

If $a^{f(x)}=a^{g(x)}$ then $f(x)=g(x)$

$5(x+6)-1=3(x-1)$

Simplifying, we get,

$5x+30-1=3x-3$

$5x+29=3x-3$

$2x+29=-3$

$2x=-32$

$x=-16$

Therefore, the value of x is -16

Hence, Option B is the correct answer.

6 0

3 years ago

Once you reach the last step of a maths equation which shows <br>-8k = 8k . what is k ?

Sveta_85 [38]

Answer:

<em>k = 0</em>

Step-by-step explanation:

-8k = 8k

Add 8k to both sides.

0 = 16k

Divide both sides by 16.

0 = k

k = 0

3 0

3 years ago

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The table shows the relationship between the two variables. Which selection describes the relationship?

kobusy [5.1K]

Answer:

D.

Step-by-step explanation:

It's not linear but it is decreasing.

8 0

2 years ago

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If y=2x-3 find the value of y when x=2

Evgesh-ka [11]

Y = 2x - 3
Y = 2(2) - 3
Y = 4 - 3
Y = 1.

The y value or y coordinate is 1.

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3 years ago

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HELP PLZ ASAP ITS DUE TOMORROW:(((( HELP

iVinArrow [24]

Answer:

em i think the answer would be 44

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2 years ago