√180 x 2√30
√36 x 5 x 2√30
6√5 x 2√30
12√5 x √30
12√5 x 30
12√150
12√25 x 6
12 x 5√6
60√6
You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation
![y=a x^{2} +bx+c](https://tex.z-dn.net/?f=y%3Da%20x%5E%7B2%7D%20%2Bbx%2Bc)
Start with the first values of x=0 and y=5.1 to solve for c:
![5.1=a(0) ^{2} +b(0)+c](https://tex.z-dn.net/?f=5.1%3Da%280%29%20%5E%7B2%7D%20%2Bb%280%29%2Bc)
so c = 5.1
Next use the second x and y values along with the value of c in the next equation:
![3.03=a(1) ^{2} +b(1)+5.1](https://tex.z-dn.net/?f=3.03%3Da%281%29%20%5E%7B2%7D%20%2Bb%281%29%2B5.1)
gives you
-2.07 = a + b. Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:
![1.17=a(3) ^{2} +b(3)+5.1](https://tex.z-dn.net/?f=1.17%3Da%283%29%20%5E%7B2%7D%20%2Bb%283%29%2B5.1)
1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
<u>Answer</u>
![\boxed{9\text{ ft}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B9%5Ctext%7B%20ft%7D%7D%20)
Multiply to find the area.
7 * 8 = 56
Divide.
56/6= 9.33333333333
Round to the nearest whole number.
9.33333333333 ![\rightarrow {9}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%7B9%7D%20)
Hence, the answer is 9 ft.
A) x / y = 3 / 5
A) 5x = 3y
A) 5x - 3y = 0
B) y - x = 6
B) 3y -3x = 18
Adding A) and B)
2x = 18
x = 9
y = 15