10m
The process of elimination
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
Answer:
Let the sides be a and b
a^2 + b^2 = c^2 = 29^2 = 841
a^2 + (a + 1)^2 = 841
a^2 + a^2 + 2 a + 1 = 841
2 a^2 + 2 a = 840
a (a + 1) = 420
21 * 20 = 420 trial and error
So the sides are 20 and 21
20^2 + 21^2 = 29^2
The answer is C. Note that angle C is 180-90-45=45 degrees, so this is a你isosceles right triangle, and it helps if we draw it on a piece of paper. Since angle B =angle C, AB must be equal to AC=4, and BC=4*\sqrt(2), according to the Pythagorean Theorem.
