The variable is b, the coefinet is 1/3
remember
ab-ac=a(b-c)
1/3b-1/3=1/3(b-1)
there, factored
Answer:
D. $11,800 Dave's net worth
D, it’s a function because the Y and X values have its own numbers , and vertical are functions . Horizontal is not a function
Answer:
(5, 9)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 5y = -40
18x - 5y = 45
<u>Step 2: Rewrite Systems</u>
18x - 5y = 45
- Multiply both sides by -1: -18x + 5y = -45
<u>Step 3: Redefine Systems</u>
x - 5y = -40
-18x + 5y = -45
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -17x = -85
- Divide -17 on both sides: x = 5
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: x - 5y = -40
- Substitute in <em>x</em>: 5 - 5y = -40
- Isolate <em>y</em> term: -5y = -45
- Isolate <em>y</em>: y = 9
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = 
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
