Answer:
I'll explain below, just follow the directions. I can't directly draw it.
Step-by-step explanation:
find the length and the width of a rectangle whose perimeter is 18 ft
2L + 2W = 18
simplify, divide by 2
L + W = 9
L = (9-W)
:
whose area is 20 square feet
L*W = 20
Replace L with (9-W)
W(9-W) = 20
-W^2 + 9W - 20 = 0
Multiply by -1, easier to factor
W^2 - 9W + 20
Factors to
(W-4)(W-5) = 0
Two solutions
W = 4 ft is width, then 5 ft is the Length
and
W = 5 ft is the width, then 4 ft
Answer:
(8, -8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x - 16
5y = 2x - 56
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 5(x - 16) = 2x - 56
- Distribute 5: 5x - 80 = 2x - 56
- [Subtraction Property of Equality] Subtract 2x on both sides: 3x - 80 = -56
- [Addition Property of Equality] Add 80 on both sides: 3x = 24
- [Division Property of Equality] Divide 3 on both sides: x = 8
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 16
- Substitute in <em>x</em>: y = 8 - 16
- Subtract: y = -8
Answer:
Step-by-step explanation:
19
Hope this helps
Mark brainliest please
