Answer:
Length = 80 m and breadth = 60 m If one moves along the two adjacent sides, one covers 80+60 = 140 m. Diagonal of the rectangle = √ ( length^2 + breadth^2) ...
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).
Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:
y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8
Answer:
P(-3) = -4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
P(x) = x² + 2x - 7
P(-3) is x = -3
<u>Step 2: Evaluate</u>
- Substitute: P(-3) = (-3)² + 2(-3) - 7
- Exponents: P(-3) = 9 + 2(-3) - 7
- Multiply: P(-3) = 9 - 6 - 7
- Subtract: P(-3) = 3 - 7
- Subtract: P(-3) = -4
The 16 ounce roll because 18.72 divided by 16 is 1.17 (the cost per roll in a 16 ounce) and 8.33 divide divide by 7 is 1.19 (the cost per roll in a 7 ounce)
Answer:
x ∈ ∅
Step-by-step explanation:
2(x + 3) = 2x + 8
2x + 6 = 2x + 8
2x - 2x = 8 - 6
0 = 2
x ∈ ∅
