Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
Parallel means that the two equations have the same slope,
so we have y = 8x + b so far.
Then we can just apply the slope to the given point by taking the y value and decreasing it by 40, due to the x value being 5
So in short, the equation that runs parallel to y = 8x-8 and intersect the point (5,2) is y = 8x -38
Answer:
-1 1/4
Step-by-step explanation:
I=Prt
700=(250)*r*(16)
700=4000*r
700/4000-(4000*r)/4000
0.175=r
17.5%=r
The simple interest rate is 17.5%
Answer:
the 3rd one
Step-by-step explanation:
