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3 years ago

Simplify (b^4)^3. ❤️ SLAT*_^}

Mathematics

2 answers:

KiRa [710]3 years ago

6 0

Answer:

$b^1^2$

Step-by-step explanation:

First, multiply by exponent rule.

$(x^y)^z=x^y^z$

$b^4^*^3$

Then, multiply by the numbers from left to right.

$4*3=12$

$b^1^2$ , is the correct answer. 

erastova [34]3 years ago

5 0

Answer:

b^12

Step-by-step explanation:

When there is a power of a power, you multiply the powers

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Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of

Elina [12.6K]

The midpoint of a line divides the line into equal segments.

The option that proves PQ = LO is (a)

The given parameters are:

$\mathbf{L = (0,0)}$

$\mathbf{M = (3,0)}$

$\mathbf{N = (3,7)}$

$\mathbf{O = (0,7)}$

P is the midpoint of LM.

So, we have:

$\mathbf{P = \frac{LM}{2}}$

$\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}$

$\mathbf{P = (\frac{3}{2},0)}$

Q is the midpoint of NO.

So, we have:

$\mathbf{Q = \frac{NO}{2}}$

$\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}$

$\mathbf{Q = (\frac{3}{2},7)}$

Distance PQ is calculated as follows:

$\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

This gives:

$\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}$

$\mathbf{PQ = \sqrt{ 7^2}}$

$\mathbf{PQ = 7}$

Distance LO is calculated as follows:

$\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}$

$\mathbf{LO = \sqrt{ 7^2}}$

$\mathbf{LO=7}$

So, we have:

$\mathbf{PQ = 7}$

$\mathbf{LO=7}$

Thus:

$\mathbf{PQ = LO}$

Hence, the correct option is (a)

Read more about distance and midpoints at:

brainly.com/question/11231122

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2 years ago

Given the radius is 6 inches, what is the area of the circle?

enyata [817]

Answer:

I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!

Step-by-step explanation:

$A=\pi r^{2}$

$A=\pi (6^{2})$

$A=\pi (36)$

From here, there can be a few different answers:

The exact answer is A=36π inches^2.

If you need to round, round this to wherever you need it: A=113.0973355292326... inches^2

If you're using 3.14 for pi, the answer is A=113.04 inches^2.

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3 years ago

5(y+4)=6y need help in this math is for my son

Stolb23 [73]

Answer:

y =20

Step-by-step explanation:

5(y+4)=6y

Distribute

5y +20 = 6y

Subtract 5y from each side

5y-5y+20=6y-5y

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3 years ago

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A 10 ounce container if milk contains 200 calories. how many calories does each ounce of milk contain?

kaheart [24]

The answer that is correct is 20 so there you go

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3 years ago

The infield of a baseball field is a square

AnnZ [28]

Answer:

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Step-by-step explanation:

You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.

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_____

In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:

d² = 1² + 1²

d² = 2

d = √2

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2 years ago