Answer:
![\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B8x%5E3%2B125%3D%282x%2B5%29%284x%5E2-10x%2B25%29%7D)
Step-by-step explanation:
![8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)](https://tex.z-dn.net/?f=8x%5E3%2B125%3D2%5E3x%5E3%2B5%5E3%3D%282x%29%5E3%2B5%5E3%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20a%5E3%2Bb%5E3%3D%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29%5C%5C%5C%5C%3D%282x%2B5%29%28%282x%29%5E2-%282x%29%285%29%2B5%5E2%29%5C%5C%5C%5C%3D%282x%2B5%29%284x%5E2-10x%2B25%29)
You either find the gradient or distance and if there are equal, therefore the opp are equal
Answer:
answer is 80
Step-by-step explanation:
7200 / 90 = 80
Answer:
A) 3 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Surface Area of a Sphere: SA = 4πr²
- Diameter: d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
SA = 23 in²
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute [SAS]: 23 in² = 4πr²
- Isolate <em>r </em>term: 23 in²/(4π) = r²
- Isolate <em>r</em>: √[23 in²/(4π)] = r
- Rewrite: r = √[23 in²/(4π)]
- Evaluate: r = 1.35288 in
<u>Step 3: Find </u><em><u>d</u></em>
- Substitute [D]: d = 2(1.35288 in)
- Multiply: d = 2.70576 in
- Round: d ≈ 3 in