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Alex
2 years ago
11

HELP MEEEEEEEEEEEEEEE

Mathematics
1 answer:
pogonyaev2 years ago
6 0

\dfrac{8^2 \cdot 4^{-3}}{2^4\cdot 8^{-2}}\\\\\\=\dfrac{(2^3)^2\cdot(2^2)^{-3}}{2^4\cdot (2^3)^{-2}}\\\\\\=\dfrac{2^6\cdot2^{-6}}{2^4\cdot 2^{-6}}\\\\\\=\dfrac{2^6}{2^4}\\\\\\=2^{6-4}\\\\\\=2^2\\\\\\=4

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Find the third side in simplest radical form:
larisa [96]

Answer:

x = √53

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 6

Leg <em>b</em> = <em>x</em>

Hypotenuse <em>c</em> = √89

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Set up equation:                    6² + x² = (√89)²
  2. Isolate <em>x</em> term:                        x² = (√89)² - 6²
  3. Exponents:                             x² = 89 - 36
  4. Subtract:                                 x² = 53
  5. Isolate <em>x</em>:                                 x = √53
5 0
3 years ago
Oposite of 35 feet below sea level?
vazorg [7]

Answer:

35 feet above sea level

Step-by-step explanation:

The opposite of down is up

6 0
3 years ago
The product of two positive numbers is 48. the larger number is 13 more than the smaller. Find both numbers [Only an algebraic s
Valentin [98]

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

5 0
3 years ago
If f(x)=7x what is the inverse of f(x)
Brums [2.3K]

Answer:

f(x)=x/7

Step-by-step explanation:

f(x)=7x

y=7x

x=7y (switch y and x for inverse)

x=7y (isolate y)

x/7=y

The inverse of f(x)=7x is f(x)=x/7

8 0
4 years ago
A box contains 50 packs of pencils. The price of the box is $10.25. Each package of pencils cost the same amount. Which could be
Ugo [173]
Your answer is going to be D.
In order to find P, you would divide $10.25 by 50, which means the 50p is $10.50.
8 0
3 years ago
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