Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
Answer:
20 square feet
Step-by-step explanation:
The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area
Step 1
We find the Length and Width of the deck
Perimeter of a rectangle = 2L + 2W
The length of a rectangular deck is five times it's width
W = Width
L = Length = 5W
P = 24 feet
Perimeter = 2(5W) + 2W
24 = 10W + 2W
24 = 12 W
W = 24/12
W = 2 feet
Solving for L
L = 5W
L = 5 × 2 feet
L = 10 feet
Step 2
We find the area of the deck
Area of the deck(Rectangle) = Length × Width
= 10 feet × 2 feet
= 20 square feet
In analytical geometry, we can find the linear distance between two parallel lines by determining the coefficients of the variables and the constants. The general equation for a linear equation is: Ax + By = C.
Line 1: 2x - 3y = -4
Line 2: 2x - 3y = -15
In this case, A=2 and B=-3. The constants are C₁ = -4 and C₂ = -15. The distance follows this formula:
d = |C₁ - C₂|/(√(A²+B²)
d = |⁻4 - ⁻15|/(√(2²+⁻3²)
d = 3.051 units
