Answer:
x = 32 yd
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 24
Hypotenuse <em>c</em> = 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: x² + 24² = 40²
- [Subtraction Property of Equality] Isolate <em>x</em> term: x² = 40² - 24²
- Evaluate exponents: x² = 1600 - 576
- Subtract: x² = 1024
- [Equality Property] Isolate <em>x</em>: x = 32
Answer:
±1, ±11, ±1/5, ±11/5
Step-by-step explanation:
f(x) = 5x³ - 7x + 11
constant term: 11
leading coefficient: 5
factors of the constant term: ±1, ±11
factors of the leading coefficient: ±1, ±5
possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5
1) D. 45
2)
<span>A.96
</span>1)
<span><span>(<span><span>3x</span>+4</span>)</span><span>(99)</span></span><span>=<span><span>(<span><span>3x</span>+4</span>)</span><span>(99)</span></span></span><span>=<span><span><span>(<span>3x</span>)</span><span>(99)</span></span>+<span><span>(4)</span><span>(99)</span></span></span></span><span>=<span><span>297x</span>+396</span></span>
2)116+83=96.
the answer should be 125,000