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Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.
Answer:
The answer to your question is x - 5 or x = 5
Step-by-step explanation:

1.- Factor the numerator
x² - 3x - 10
find 2 numbers that added equal -3 and multiply equal -10.
These numbers are -5 and + 2
(x - 5)(x + 2)
2.- Simplify

Delete (x +2) in both numerator and denominator
3.- Result x - 5
x = 5
Answer:
6 seconds
Step-by-step explanation:
Given
y = - 12x(x - 6)
When the ball hits the ground then height of ball is zero
let y = 0 , that is
- 12x(x - 6) = 0
Equate each factor to zero and solve for x
- 12x = 0 ⇒ x = 0 ← when ball is first kicked
x - 6 = 0 ⇒ x = 6 ← when the ball hits the ground.
The ball hits the ground after 6 seconds