Given:
Roots:
![\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-3%2B%5Csqrt%5B%5D%7B6%7D%20%5C%5C%20-3-%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
![y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})](https://tex.z-dn.net/?f=y%3Da%28x%2B3-%5Csqrt%5B%5D%7B6%7D%29%28x%2B3%2B%5Csqrt%5B%5D%7B6%7D%29)
Next, we expand the terms.
Then, we plug in x= -1, and y=4 into the equation to get the value of a.
So,
Answer:
7168
Step-by-step explanation:
7.5
Using the Pythagorean theorem you can determine this answer! Let me know if I’m wrong!
Answer:
Step-by-step explanation:
ΔABE ~ ΔACD
In similar triangles, corresponding sides are in same ratio.
Cross multiply,
2*(9+x) = 3*9
2*9 + 2*x = 27
18 + 2x = 27
2x = 27 - 18
2x = 9
x = 9/2
x = 4.5
