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3 years ago

Why can't you use the product of powers rule to simplify this expression? Explain. 3^4 * 2^8

Mathematics

1 answer:

yarga [219]3 years ago

4 0

Answer:

Both expressions have different base.

Step-by-step explanation:

Product rule can only be use for the similar bases. For example 2² × 2⁴ have the same base.

For this question, 3⁴ × 2⁸ have different bases which is 3 and 2.

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In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?

Vanyuwa [196]

The answer is B) 43°
Angle ADB is an inscribed angle which means arc AB has an angle twice that of angle ADB. The angle of the arc would be the same as that of the central angle AOB. So, mAOB = 86°. And since, mAOB = mBOC, then mBOC = 86° and arc BC has a measure of 86° as well. Angle BDC intercepts the arc BC which means half of the angle of arc BC is mBDC. So, mBDC = 43°.

7 0

2 years ago

Read 2 more answers

Use synthetic division to find the result when 3x^3 + 13x^2 + x – 12 is divided by X + 4.

IgorC [24]

Answer:

3x² + x - 3

Step-by-step explanation:

The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division

Pretend the square root of the division symbol

-4 √ 3 12 1 -12

Quick note: We're dividing by -4 because we're dividing by x + 4

First bring down the 3

-4 √ 3 13 1 -12

Multiply it by 4 then bring add it to the next number

-4 √ 3 13 1 -12

-12

3 1

Add that number to the next one

-4 √ 3 13 1 -12

-12 -4

3 1 -3

Finally repeat the step for the last number

-4 √ 3 13 1 -12

3 -12 -4 +12

3 1 -3 0

Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on

3x² + 1x - 3

8 0

1 year ago

Please help picture included!!

Triss [41]

I think the answer is C

8 0

3 years ago

Solve the quadratic function by factoring. You must fill in

Stells [14]

Answer:

5x+2=0

Step-by-step explanation:

When factoring you add or subtract your factors that are similar.

For example 9x-4x+ 5x

and this is how you get 5x+2=0

Any Questions?

4 0

2 years ago

Read 2 more answers

I need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?

kodGreya [7K]

Answer:

8 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, -3.75)

Point (-1, 4.5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-1--1)^2+(4.5--3.75)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(0)^2+(8.25)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{0+68.0625}$
[√Radical] Add: $\displaystyle d = \sqrt{68.0625}$
[√Radical] Evaluate: $\displaystyle d = 8.25$

4 0

2 years ago