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Alex Ar [27]
3 years ago
5

Which value of b solves the equation? b^-3 = 1/216 A. –6 B. 6 C. 36 D. 72

Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Answer:

<h2>B. 6</h2>

Step-by-step explanation:

\text{use}\\\\a^{-n}=\dfrac{1}{a^n}\\\\==========================\\\\b^{-3}=\dfrac{1}{216}\\\\\dfrac{1}{b^3}=\dfrac{1}{216}\qquad\text{inverse both sides}\\\\b^2=216\to b=\sqrt[3]{216}\\\\b=6\ \text{because}\ 6^3=216

KatRina [158]3 years ago
4 0
The answer to the question

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Ivahew [28]
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5 0
3 years ago
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact
Serhud [2]

The exact measure of the angle is 45°.

<h3>How to get the angle?</h3>

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

3 0
2 years ago
9x-7=-7<br><img src="https://tex.z-dn.net/?f=9x%20-%207%20%3D%20-%207" id="TexFormula1" title="9x - 7 = - 7" alt="9x - 7 = - 7"
scZoUnD [109]

Answer:

x= 0

Step-by-step explanation:

Here in this question, we are given a linear equation of single variable x, and we have to solve the equation for x.

The given equation is 9x -7= -7 ....... (1)

Now, taking all the constant terms to the right side of the equation and all the x terms to the left side of the equation.

Hence, the equation becomes  

9x = -7 +7

⇒ 9x =0 {Since, -7 and 7 cancels each other}

⇒ x= 0/9= 0 (Answer) {Since zero divided by any number is equal to zero}

7 0
3 years ago
Which ordered pair does not represent a point on the square?
Vikentia [17]

Answer:

D

Step-by-step explanation:

-2, 1 is not a point in the square but - 2, 2 is so the answer should be D -2,1

If my answer helped, kindly mark me as the brainliest!!

7 0
3 years ago
Read 2 more answers
Which is the value of this expression when a=5 and k=-2
Zinaida [17]

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

(\frac{3^2a^{-2}}{3a^{-1}})^k

The value of a =5 and k = -2

Putting the values and solving

=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}

Option C is correct.

3 0
3 years ago
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