Answer:
(A) 2/12 or 1/6. (B) 2/12 or 1/6 (C) 4/12 or 1/3.
Step-by-step explanation:
Answer:
38.13m²
Step-by-step explanation:
We find the area of ;
Rectangule and semicircle
Area of rectangle :
Length * width
Length = 8m ; width = 3m
Area = 8 * 3 = 24m²
Area of semicircle = 1/2 πr²
Radius, r = 3m
A = 1/2 * 3.14 * 3²
A = 1/2 * 3.14 * 9
A = 14.13 m²
Area of patio :
(24 + 14.13)m²
= 38.13m²
Answer:
a) Δx = -35ft
b) Δx = -25ft
c) Kyle traveled 10ft more than John
Step-by-step explanation:
We define a coordinate reference system() in which y = 0 corresponds to the water surface.
a) The initial position of Kyle in our coordinate reference system is:

and his final position is:

Therefore, he traveled
Δx = 
b) The initial position of John in our coordinate reference system is:

and his final position is:

Therefore, he traveled
Δx = 
c) Then, Kyle traveled 10ft more than John
Simplifyiing
the greatest common factor is 3 so
3x - 9y + 12 = 3(x - 3y + 4)
Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55