Answer:
not ratinal
Step-by-step explanation:
Volume of a rectangular prism = 40 cubic feet.
Volume of a rectangular prism = length * width * height
width = x
length = 1 foot greater than its width = x + 1
height = 2 feet less than its width = x - 2
l * w * h = 40 ft³
(x+1) * x * (x -2) = 40
(x² + x)(x-2)
x³ - 2x² + x² + 2x = 40
x³ - x² + 2x - 40 = 0
solve for the value of x. I used the calculator to get the volume.
width = x = 4
length = x + 1 = 4 + 1 = 5
height = x - 2 = 4 - 2 = 2
V = 4 * 5 * 2
V = 20 * 2
V = 40 ft³
Answer:
(-1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define</u>
-4x + 3y = -2
y = x - 1
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -4x + 3(x - 1) = -2
- [Distributive Property] Distribute 3: -4x + 3x - 3 = -2
- Combine like terms: -x - 3 = -2
- [Addition Property of Equality] Add 3 on both sides: -x = 1
- [Division Property of Equality] Divide -1 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original Equation]: y = -1 - 1
- Subtract: y = -2
Answer:
d = mn/F
Step-by-step explanation:
F = mn/d
multiply both sides with d
d*F = mn/d*d
dF=mn
divide F from both sides
d/F = mn/F
So..
d = mn/F
F) 11/10 OR 1 1/10 g) 5/4 or 1 1/4 h) 8/15
hope it helps :)
