Answer:
Step-by-step explanation:
Use Pythagorean theorem,
base²+altitude² = hypotenuse²
x² + 14² = 40²
x² + 196 = 1600
x² = 1600 - 196
x² = 1404
x = √1404
x = 37.47 ft
Answer:
![\boxed{\sf \ \ 9x^2-18x-7 \ \ divided \ by \ (3x+1) \ is \ (3x-7) \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5C%20%5C%209x%5E2-18x-7%20%5C%20%5C%20%20divided%20%5C%20by%20%5C%20%283x%2B1%29%20%5C%20is%20%5C%20%283x-7%29%20%5C%20%7D)
Step-by-step explanation:
Hello,
let's find a and b reals so that
![9x^2-18x-7=(3x+1)(ax+b)](https://tex.z-dn.net/?f=9x%5E2-18x-7%3D%283x%2B1%29%28ax%2Bb%29)
![(3x+1)(ax+b)=3ax^2+(3b+a)x+b](https://tex.z-dn.net/?f=%283x%2B1%29%28ax%2Bb%29%3D3ax%5E2%2B%283b%2Ba%29x%2Bb)
we identify the terms in ![x^2](https://tex.z-dn.net/?f=x%5E2)
9 = 3a
we identify the terms in x
-18 = 3b + a
we identify the constant terms
-7 = b
so ti goes with a = 9/3 = 3, b = -7
so we can write
![9x^2-18x-7=(3x+1)(3x-7)](https://tex.z-dn.net/?f=9x%5E2-18x-7%3D%283x%2B1%29%283x-7%29)
so ![9x^2-18x-7 \ divided \ by \ (3x+1) \ is \ (3x-7)](https://tex.z-dn.net/?f=9x%5E2-18x-7%20%5C%20divided%20%5C%20by%20%5C%20%283x%2B1%29%20%5C%20is%20%5C%20%283x-7%29)
hope this helps
Rational because the answer was simplified already as 12÷4=3
Answer:
your answer would be A.
Step-by-step explanation:
Already you know that answers b and d are not an option because it is saying she can use OVER 45 dollars. So she has to use EQUAL or less then 45 dollars. So the answer has to be A or C. In answer C it is saying she can spend MORE then 2.50 for a bunch where she cant. She has to spend exactly or less then that amount. So your answer is A.
Answer:
The answer is The function is decreasing for all real values of x
where
-1<x<4.
Step-by-step explanation: