<em>The word usage in last sentence of the question is not well presented. However, I can understand that you intend to solve for the width of the park</em>
Answer:
![Width = 2\ km](https://tex.z-dn.net/?f=Width%20%3D%202%5C%20km)
Step-by-step explanation:
Given
![Length = \frac{3}{8}km](https://tex.z-dn.net/?f=Length%20%3D%20%5Cfrac%7B3%7D%7B8%7Dkm)
![Area = \frac{3}{4}km^2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B3%7D%7B4%7Dkm%5E2)
Required
Determine the Width
For a rectangle:
![Area = Length * Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%2A%20Width)
Substitute for Area and Length
![\frac{3}{4} = \frac{3}{8} * Width](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B3%7D%7B8%7D%20%2A%20Width)
Multiply both sides by ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
![\frac{8}{3} * \frac{3}{4} = \frac{3}{8} * \frac{8}{3}* Width](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B3%7D%7B8%7D%20%2A%20%5Cfrac%7B8%7D%7B3%7D%2A%20Width)
![\frac{8}{3} * \frac{3}{4} = Width](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%20Width)
![\frac{24}{12} = Width](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B12%7D%20%3D%20Width)
![2 = Width](https://tex.z-dn.net/?f=2%20%3D%20Width)
![Width = 2\ km](https://tex.z-dn.net/?f=Width%20%3D%202%5C%20km)
Answer:
![y = -2x + 6](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%206)
Step-by-step explanation:
Given
![(x_1,y_1) = (1,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C4%29)
![(x_2,y_2) = (2,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%282%2C2%29)
Required
Determine the line equation
First, we calculate the slope (m) using
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{2-4}{2-1}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2-4%7D%7B2-1%7D%5C%5C)
![m = \frac{-2}{1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%7D%7B1%7D)
![m = -2](https://tex.z-dn.net/?f=m%20%3D%20-2)
The equation is then calculated using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
![y - 4 = -2(x - 1)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-2%28x%20-%201%29)
Open bracket
![y - 4 = -2x + 2](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-2x%20%2B%202)
![y = -2x + 2 + 4](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%202%20%2B%204)
![y = -2x + 6](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%206)
![\frac{k}{13}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bk%7D%7B13%7D%20)
=
![\frac{0.6}{0.5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.6%7D%7B0.5%7D%20)
equals
k = 15.6
First, simplify
![\frac{0.6}{0.5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.6%7D%7B0.5%7D%20)
to 1.2. Your problem should look like:
![\frac{k}{13}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bk%7D%7B13%7D%20)
= 1.2
Second, multiply both sides by 13. Your problem should look like: k = 15.6, which is the answer.
K=19 which would leave the equation 181=181. The first step to solving this is subtracting 9k from each side.
after you do that it should be k-9=10
now you add 9 to both sides leave k=19. plug k into the equation and get 181=181
I’m afraid you can’t delete , unless if we report it or else there’s no other way