Answer:
The wall is 3 ft high and 5 ft long.
Step-by-step explanation:
Recall: Area of the rectangular wall is A = (length)(height).
Let the height be represented by h. Then the length is represented by h + 2.
The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.
Let's solve this last equation for h using completing the square:
h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16. Taking the square root of both sides, we get:
h + 1 = ±4, which is equivalent to h = 3 and h = -5. Discard the negative result. Then h = 3 and w = 3+2 = 5.
The wall is 3 ft high and 5 ft long. Its area is (3 ft)(5 ft) = 15 ft²
Answer:
33
Step-by-step explanation:
Answer:
s = -1/6
Step-by-step explanation:
as x increases 6 units, y decreased 1 unit
Slope is Δy/Δx = -1/6
Answer:
B. 5070π in³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry
</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 13 in
<em>h</em> = 30 in
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)
- Evaluate exponents: V = π(169 in²)(30 in)
- Multiply: V = 5070π in³
