Complete Question:
Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Write an equation using the Pythagorean Theorem to find the value of x.
How far are Ava's feet from the balloon?
Answer:
Ava's feet is 17ft away from the balloon
Step-by-step explanation:
Given
![height = 8ft](https://tex.z-dn.net/?f=height%20%3D%208ft)
![distance = 15ft](https://tex.z-dn.net/?f=distance%20%3D%2015ft)
The attached image represents the scenario
Using Pythagoras theorem (from the attachment), we have:
![x^2 = 8^2 + 15^2](https://tex.z-dn.net/?f=x%5E2%20%3D%208%5E2%20%2B%2015%5E2)
![x^2 = 64 + 225](https://tex.z-dn.net/?f=x%5E2%20%3D%2064%20%2B%20225)
![x^2 =289](https://tex.z-dn.net/?f=x%5E2%20%3D289)
Take square roots of both sides
![x = \sqrt{289](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B289)
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
Answer:
4th option
Step-by-step explanation:
7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x
= 56x³ - 28xy² + 21xy - 35x
Answer:
C
Step-by-step explanation:
(6 * 4 ) * 2 = 48
( 4 * 12 ) * 2 = 96
( 6 * 12 ) * 2 = 144
48 + 96 + 144 = 288
Answer:
We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:
1 1/8x + 3/4x + 5/8x = 20
2 1/2x = 20
x = 8 which means that the stylist needs 1 1/8 * 8 = 9 oz red, 3/4 * 8 = 6 oz gray and 5/8 * 8 = 5 oz brown.