Answer:
1. x - 1
2. ![\sqrt{x^2-1}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-1%7D)
Step-by-step explanation:
![f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%5Csqrt%7Bx%2B1%7D%5E2%20-%202%5C%5C%20%3D%20x%20%2B%201%20-%202%5C%5C%3D%20x%20-%201)
![g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%5Csqrt%7Bx%5E2-2%2B1%7D%5C%5C%20%3D%20%5Csqrt%7Bx%5E2-1%7D)
Answer:
Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph
is below
![y = - \frac {5}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%202)
Step-by-step explanation:
Slope of the equation
is ![m_1 = \frac{2}{5}](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as
![m_2 = - \frac {1}{m_1} = - \frac {5}{2}](https://tex.z-dn.net/?f=m_2%20%3D%20-%20%5Cfrac%20%7B1%7D%7Bm_1%7D%20%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D)
Equation of line in point slope form is given as
![y-y_1=m_2(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm_2%28x-x_1%29)
Here (x1, y1) = (4, -8)
![y+8 = - \frac{5}{2} (x-4)](https://tex.z-dn.net/?f=y%2B8%20%3D%20-%20%5Cfrac%7B5%7D%7B2%7D%20%28x-4%29)
Simplifying it further
![y = - \frac {5}{2} x + \frac {5}{2} 4 - 8](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%20%5Cfrac%20%7B5%7D%7B2%7D%204%20-%208)
![y = - \frac {5}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%202)
4/32 = x/100
answer: x = 12.5
Answer:
Hope you find the help you need on this sorry , i couldnt find the answer :( good luck !!
Step-by-step explanation:
Answer:
3614 miles
Step-by-step explanation:
Given data
A plane flew for 2 hours at 467 mph
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 467*2
Distance=934 miles
5 hours at 536
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 536*5
Distance=2680 miles
Total distance
=2680+934
=3614 miles