Answer:
A=380.13cm^2 hope this helps you
Answer:
![f(x) = 4( {x + \frac{1}{2}) }^{2} - \frac{21}{4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%20%7Bx%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%29%20%7D%5E%7B2%7D%20%20-%20%5Cfrac%7B21%7D%7B4%7D%20)
Step-by-step explanation:
We want to rewrite
![f(x) = 4 {x}^{2} + 2x - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%205)
in vertex form.
We factor 4 to get:
![f(x) = 4( {x}^{2} + \frac{x}{2} ) - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7Bx%7D%7B2%7D%20%29%20-%205)
We add and subtract half the square of the coefficient of x.
![f(x) = 4( {x}^{2} + \frac{x}{2} + \frac{1}{16} ) - 5 - 4 \times \frac{1}{16}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B16%7D%20%29%20-%205%20-%204%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B16%7D%20)
We factor perfect square trinomial to get:
![f(x) = 4( {x + \frac{1}{2}) }^{2} - 5 - \frac{1}{4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%20%7Bx%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%29%20%7D%5E%7B2%7D%20-%205%20-%20%5Cfrac%7B1%7D%7B4%7D%20)
![f(x) = 4( {x + \frac{1}{2}) }^{2} - \frac{21}{4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%20%7Bx%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%29%20%7D%5E%7B2%7D%20%20-%20%5Cfrac%7B21%7D%7B4%7D%20)
This question is actually really easy!
All you need to do is divide 36 by 12.
And you get... 3!!!
The ratio of the park's length and width is 300/240=5/4
if he takes the length as 10in then the width should be 8in,
so it's area should be 80in²
Answer:
7.85 inches
Step-by-step explanation: