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3 years ago

Evaluate 144 to the power of one half

2 answers:

6 0

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
144^{\frac{1}{2}}\implies \sqrt[2]{144^1}\implies \sqrt{144}\implies 12$

denis23 [38]3 years ago

5 0

The answer is 12. " Evaluate 144 ^1/4 "

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Which of the following is the solution set of x² + 8x + 12 = 0?

raketka [301]

Answer:

$\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}$

Step-by-step explanation:

Given:

$x^{2} + 8x + 12 = 0$

Solve for:

$x$

Solution:

Step 1: Select the formula to solve for $x$

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

$x^{2} + 8x + 12 = 0$

<=> $x^{2} + 2x + 6x + 12 = 0$

<=> $(x^{2} + 2x) + (6x + 12) = 0$

<=> $x(x + 2) + 6(x + 2) = 0$

<=> $(x + 2)(x + 6) = 0$

<=> $x = -2$ or $x = -6$

Hope this helps!

4 0

3 years ago

Find the volume of a cone with the radius of radius of 80 and height of 21

RoseWind [281]

Answer:

140672

Step-by-step explanation:

formula for cone volume=pi*r^2*h*1/3

80^2*3.14*21=422016

422016*1/3

=140672

5 0

3 years ago

Solve for x: -3x + 3< 6

Katarina [22]

Answer:

x > -1

Step-by-step explanation:

-3x + 3< 6
-3x < 3
x > -1
Hope it helped !
Adriel

8 0

2 years ago

Read 2 more answers

Which of the following lists of orders pairs is a funtion

nordsb [41]

Answer:

Step-by-step explanation:

For it to be a function, every x value must have 1 unique y value ONLY.

In option A, you can see that the x value of 1 has 2 y values, 1 & 5. So it's not a function.

In option B, you can see that the x value of 0 has 2 y values, 0 & -4. Moreover, the x value of 4 also has 2 y values, 2 & -2. So it's not a function.

In option C, you can see that the x value of -2 has 2 y values, 4 & -4. This is not a function as well.

In option D, each x value has a unique y value that are different. So this is a function.

Answer is option D.

5 0

3 years ago

In triangle ABC, which side is the longest if these are the measures of the angles? m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

gogolik [260]

Answer:

Step-by-step explanation:

First, let's find m∠B and m∠C by solving for x. Since the sum of interior angles in a triangle is 180°, we know that:

60 + 3x - 2 + 2x + 7 = 180

5x + 65 = 180

5x = 115

x = 23° so m∠B = 3(23) - 2 = 67° and m∠C = 2(23) + 7 = 53°. The longest side of a triangle is always opposite to the largest angle of the triangle, and since m∠B is the largest, we know that the side opposite to ∠B is the longest. That side is AC.

3 0

3 years ago