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3 years ago

5

Simplify this power raised to a power: (54)4 1. Expand using four factors of 54: 54 ∙ 54 ∙ 54 ∙ 54 2. Apply the product

of powers rule: 54+ 4+ 4+ 4 3. Simplify: 5x What is the value of x in the simplified power?

2 answers:

34kurt3 years ago

4 0

Answer:

<h2><u>x=16 </u></h2>

Step-by-step explanation:

<h2>You add all the 4s from the second step and get a product of 16. </h2>

nikitadnepr [17]3 years ago

3 0

Answer:

X = 16

Step-by-step explanation:

I put 16 and it was correct.

Hope this works for you

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Jenny has a rope that is 7 1/2 feet long. She wants to cut it into pieces that are 3/4 of a foot long.

Dmitrij [34]

10 I was dividing and got 10 hope it helped

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2 years ago

Find the center of the circle that you can circumscribe about DABC.

Vlada [557]

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

A circle can be modelled after a expression of the form:

$A\cdot x + B\cdot y + C =-x^{2}-y^{2}$ (1)

We can determine all coefficients by knowing three <em>distinct</em> points on plane.

If we know that $(x_{1}, y_{1}) = (2, 8)$ , $(x_{2}, y_{2}) = (0, 8)$ and $(x_{3}, y_{3}) = (2, 2)$ , then the solution of the system of linear equations is:

$2\cdot A + 8\cdot B + C = -68$ (2)

$8\cdot B + C = -64$ (3)

$2\cdot A + 2\cdot B + C = -8$ (4)

$A = -2, B = -10, C = 16$

Now we proceed to <em>complete</em> squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

$x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0$

$(x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0$

$(x-1)^{2}+(y-5)^{2}= 10$

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983

5 0

2 years ago

Use the number line to represent. -4 1/2 + 3 1/4. what is the sum?

dlinn [17]

Answer:

$\displaystyle A+B=-\frac{5}{4}$

Step-by-step explanation:

<u>The Number Line</u>

Let's call

$\displaystyle A=-4\frac{1}{2}$

$\displaystyle B=+3\frac{1}{4}$

Both numbers are given as mixed fractions. Let's convert them to improper fractions:

$\displaystyle A=-4\frac{1}{2}=-(4+\frac{1}{2})=-\frac{8+1}{2}=-\frac{9}{2}$

$\displaystyle B=3\frac{1}{4}=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}$

The decimal values are A = -9/2=-4.5, B=13/4 = 3.25

Now represent the points in the number line. See the image below

Finally, calculate their sum:

$\displaystyle A+B=-\frac{9}{2}+\frac{13}{4}$

$\displaystyle A+B=-\frac{18}{4}+\frac{13}{4}=\frac{-18+13}{4}$

$\boxed{\displaystyle A+B=-\frac{5}{4}}$

4 0

3 years ago

If a = 3 and b=5, what is the value of a 2 + b2? 6 + 10 084 9 + 25 o 82

LenaWriter [7]

Answer:

6 + 10

Step-by-step explanation:

Just fill in the variables with the given numbers. Since a=3 and b=5 just fill in were the variables are.

(3)2 + (5)2 = ?

Simplify:

6 + 10

Answer: 16

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3 years ago

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mario62 [17]

Answer:

The answer to the question provided is

$\frac{1}{2}$

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2 years ago