By using pythagoras theorem where
(Base)^2 +(perpedicular)^2 = (hypotenuse)^2
So,
(5)^2 +(12)^2 = (hypotenuse)^2
25 + 144 = (hypotenuse)^2
169 = (hypotenuse)^2
13 = hypotenuse
So, hypotenuse = 13
Answer:
8.
Step-by-step explanation:
x cannot be 8 because that would make the denominator zero.
let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.
Horizontal is y=4
It an exponential function
The y intercept is (0,14/3)
Domain is (-inf,inf)
Range is the same as domain
Both are negative infinity to positive infinity
5x^2 + 7x = 6
5x^2 + 7x -6 = 0
5x^2 + 10x -3x -6 =0
5x × (x + 2) -3 (x + 2) = 0
(x + 2) × (5x - 3) = 0
x + 2 = 0
5x - 3 = 0
x = -2
x = 3/5
answer: x = -2, x = 3/5
