Answer:
The tree is 17.5 ft tall
Step-by-step explanation:
We can use ratios to solve
Shadow
-----------
height
28 8
------ = ------------
tree 5
Using cross products
28*5 = 8 * tree
140 = 8 * tree
divide each side by 8
140/8 = 8 *tree/ 8
17.5 = tree
The polynomial is not factorable, so we use the quadratic formula.
x^2 + 5x − 2 = 0
![x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%20)
![x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(-2)}}{2(1)}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B-5%20%5Cpm%20%5Csqrt%7B5%5E2%20-%204%281%29%28-2%29%7D%7D%7B2%281%29%7D%20)
![x = \dfrac{-5 \pm \sqrt{25 + 8}}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B-5%20%5Cpm%20%5Csqrt%7B25%20%2B%208%7D%7D%7B2%7D%20)
![x = \dfrac{-5 \pm \sqrt{33}}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B-5%20%5Cpm%20%5Csqrt%7B33%7D%7D%7B2%7D%20)
![x = \dfrac{-5 + \sqrt{33}}{2}~~or~~x = \dfrac{-5 - \sqrt{33}}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B-5%20%2B%20%5Csqrt%7B33%7D%7D%7B2%7D~~or~~x%20%3D%20%5Cdfrac%7B-5%20-%20%5Csqrt%7B33%7D%7D%7B2%7D%20)
![x = -\dfrac{5}{2} + \dfrac{\sqrt{33}}{2}~~or~~x = -\dfrac{5}{2} - \dfrac{\sqrt{33}}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20-%5Cdfrac%7B5%7D%7B2%7D%20%2B%20%5Cdfrac%7B%5Csqrt%7B33%7D%7D%7B2%7D~~or~~x%20%3D%20-%5Cdfrac%7B5%7D%7B2%7D%20-%20%5Cdfrac%7B%5Csqrt%7B33%7D%7D%7B2%7D%20)
Answer:
I think it would be
t(15,200)¹'⁰⁴
I used an apostrophe up there, but it's supposed to be a dot, so to the power of 1.04
3 squared becomes 9. 9-7 equals 2, which is the final answer.