Step-by-step explanation:
Given : A triangle with side lengths ![a = x^2-1, b = 2x, \text{ and } c = x^2 + 1](https://tex.z-dn.net/?f=a%20%3D%20x%5E2-1%2C%20b%20%3D%202x%2C%20%5Ctext%7B%20and%20%7D%20c%20%3D%20x%5E2%20%2B%201)
To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?
Solution :
For right triangle the Pythagorean theorem is to be satisfied.
i.e. ![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Here, ![a = x^2-1, b = 2x, \text{ and } c = x^2 + 1](https://tex.z-dn.net/?f=a%20%3D%20x%5E2-1%2C%20b%20%3D%202x%2C%20%5Ctext%7B%20and%20%7D%20c%20%3D%20x%5E2%20%2B%201)
Substitute the values,
![(x^2+1)^2=(x^2-1)^2+(2x)^2](https://tex.z-dn.net/?f=%28x%5E2%2B1%29%5E2%3D%28x%5E2-1%29%5E2%2B%282x%29%5E2)
![x^4+1+2x^2=x^4+1-2x^2+4x^2](https://tex.z-dn.net/?f=x%5E4%2B1%2B2x%5E2%3Dx%5E4%2B1-2x%5E2%2B4x%5E2)
![x^4+1+2x^2=x^4+1+2x^2](https://tex.z-dn.net/?f=x%5E4%2B1%2B2x%5E2%3Dx%5E4%2B1%2B2x%5E2)
LHS=RHS
It is a right triangle.
Answer is slope of 5
Step by step
You can graph the slope as seen on the attached picture. You go up 30, you go right +6. Slope is y/x, so 30/6, equals 5
You can also use the slope formula
(y2-y1) over (x2-x1)
Using points on the graph
(6,0) and (0,-30)
(-30-0 ) over (0-6)
-30 over -6
-30/-6
= 5
Answer:
5x=256x
5xy= -xy
(3rd) -2x^2y=4x^2y(1st)
5y=3y
(5th) x^2y^2=(3rd) 2x^2y^2
(6th) 3y^2= 5y^2(5th)
Step-by-step explanation:
Hope you understand. Please mark as the brainliest.
Any number times 0 is going to equal 0
Answer: $44.50 per hour
Step-by-step explanation:
so easy
6hrs=$267
divide by 6 on both sides
1hr=$44.50