Answer:
Step-by-step explanation:
Since its isosceles right triangle, then 2 sides are going to be the same. There are 2 legs that are in any triangle, they give us 1 leg so now we know what the other leg is. Now the formula for finding hypotenuse is a2+b2=c2.
3 squared is 9, so 9+9=18
now we have c but we arent done so now we find the square root,
. Which is
or 4.24.
They are five feet apart because one is 2 feet away from the pole and the other is three so the distance added together is their distance between each other
We are given the expression,
54x+81
Here we have to find Greatest Common Factor of 54 and 81
Factors of 54 are 1, 2, 3, 6, 9, 18 and 27.
Factors of 81 are 1, 3, 9, 27 and 81.
Greatest common factor of 54 and 81 is 27.
So we take out 27 common, rewriting the expression
27(2x+3)
Answer: 54x+81 in factored form equals 27(2x+3).
Answer:
C. 4.3
Step-by-step explanation:
Given that
n = 17
P = 1/4
Using binomial
Mean = np
Mean = 17 × (1/4)
= 17 × .25
= 4.25
Approximately = 4.3
![\dfrac{f(x+h)+f(x)}{h}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Bf%28x%2Bh%29%2Bf%28x%29%7D%7Bh%7D%20)
Replace f(x) and f(x+h) by using the equation given for the problem.
![=\dfrac{(2(x+h)^2-(x+h)-1)-(2x^2-x-1)}{h}](https://tex.z-dn.net/?f=%20%3D%5Cdfrac%7B%282%28x%2Bh%29%5E2-%28x%2Bh%29-1%29-%282x%5E2-x-1%29%7D%7Bh%7D%20)
Open all parenthesis
![= \dfrac{2x^2+4xh+2h^2-x-h-1-2x^2+x+1}{h}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B2x%5E2%2B4xh%2B2h%5E2-x-h-1-2x%5E2%2Bx%2B1%7D%7Bh%7D%20)
Factor the h
![= \dfrac{h(4x+2h-1)+2x^2-2x^2+1-1+x-x}{h}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7Bh%284x%2B2h-1%29%2B2x%5E2-2x%5E2%2B1-1%2Bx-x%7D%7Bh%7D%20)
Other terms not in the parenthesis cancel each other out
![\dfrac{h(4x+2h-1)}{h}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Bh%284x%2B2h-1%29%7D%7Bh%7D%20)
Now, simplify