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.
Given: 
Find: 
Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point. Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.
<u>Plug in the values</u>
<u>Distribute</u>
<u>Subtract 4 from both sides</u>
Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be
.
1. To find the x-intercept, replace y in the equation with 0, then solve for x.
... To find the y-intercept, replace x in the equation with 0, then solve for y.
If the equation is easily put into the form
... x/a + y/b = 1
Then the x-intercept is "a" and the y-intercept is "b".
2. Let's graph 3x+4y = -12.
If we divide the equation by -12, we can put it into the form
.. x/(-4) + y/(-3) = 1
This equation has x-intercept -4 and y-intercept -3.
(If you know the intercepts, you can simply draw the line through them to graph your linear equation.)
The answer is about 60ish. Hope this helped. :-)