Answer:
x² - 64
Step-by-step explanation:
Given
(x + 8)(x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 8) + 8(x - 8) ← distribute both parenthesis
= x² - 8x + 8x - 64 ← collect like terms
= x² - 64
Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
4(x + 4) = 6(x - 2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4x + 16 = 6x - 12
- Subtract 4x on both sides: 16 = 2x - 12
- Add 12 on both sides: 28 = 2x
- Divide 2 on both sides: 14 = x
- Rewrite: x = 14
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(14 + 4) = 6(14 - 2)
- Add/Subtract: 4(18) = 6(12)
- Multiply: 72 = 72
And we have our final answer!
Answer:
Step-by-step explanation:
Solving (a):
Given
Required
The equation of the circle
This is calculated as:
So, we have:
Solving (b):
Given
--- Missing from the question
Required
The area of the sector
This is calculated using:
So, we have:
237/1000 I hope it helps!!