Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12
Answer:
+3
Step-by-step explanation:
(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).
If m = 2 then we have -2^(-3), or -1 / [2^3]), or -1/8.
Finally, if n = -24, the original expression becomes
(-1/8)(-24) = +3
Second problem: Only the first expression simplifies to a negative result.
Answer:
x + 8 + -8x−24/x^2 + 5
Step-by-step explanation:
Divide using polynomial division.
4 is the answer that you need for the equation
Answer:
![a > \frac{22}{21}](https://tex.z-dn.net/?f=a%20%3E%20%5Cfrac%7B22%7D%7B21%7D)
Step-by-step explanation:
Given the inequality function
, to write the inequality in interval notation, we need to first get the solution to the inequality as shown;
![\frac{14a}{11}>\frac{4}{3}\\cross\ multiply\\14a \times 3 > 11 \times 4\\42a >44\\divide \ both \ sides \ by \ 42\\\frac{42a}{42} > \frac{44}{42}\\ a>\frac{22}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B14a%7D%7B11%7D%3E%5Cfrac%7B4%7D%7B3%7D%5C%5Ccross%5C%20multiply%5C%5C14a%20%5Ctimes%203%20%3E%2011%20%5Ctimes%204%5C%5C42a%20%3E44%5C%5Cdivide%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%2042%5C%5C%5Cfrac%7B42a%7D%7B42%7D%20%3E%20%5Cfrac%7B44%7D%7B42%7D%5C%5C%20a%3E%5Cfrac%7B22%7D%7B21%7D)
Hence the expression in interval notation is ![a > \frac{22}{21}](https://tex.z-dn.net/?f=a%20%3E%20%5Cfrac%7B22%7D%7B21%7D)