Let the length of unknown side be x
So, hypotenuse = 2x + 1
By pythagorean theorem ie , a² = b² + c²
(2x + 1)² = x² + 15²
4x² + 1 + 4x = x² + 225
3x² + 4x -224
(3x +28)(x-8)
x = -9.33 , 8
Since, length can't be negative
x = 8
∴Unknown side length = 8 m
Length of hypotenuse = 2 x 8 + 1 = 17 m
Hope it helps now.
Answer:
y is equal to -1
x is equal to 4
Step-by-step explanation:
The first thing you would do is multiply the bottom equation by a negative 3. You will get - 6x - 9y = -15. Keep the top equation the same. Both of the 6x's cancel. You then get -11y = 11 so y is equal to negative 1.
Since you have Y, you can now plug that in to any equation to find the value of x. -6x - 2(-1) = 26. You're left with 4. Plug both of the values into each equation to double check.
Answer:
![Total = 1.02n](https://tex.z-dn.net/?f=Total%20%3D%201.02n)
Step-by-step explanation:
Given
![Earnings = n](https://tex.z-dn.net/?f=Earnings%20%3D%20n)
--- <em>not 296</em>
![Total = n + 0.02n](https://tex.z-dn.net/?f=Total%20%3D%20n%20%2B%200.02n)
Required
Simplify the expression for total earning
The total amount is derived from:
![Total = Earnings + Raise * Earnings](https://tex.z-dn.net/?f=Total%20%3D%20Earnings%20%2B%20Raise%20%2A%20Earnings)
![Total = n + 2\% * n](https://tex.z-dn.net/?f=Total%20%3D%20n%20%2B%202%5C%25%20%2A%20n)
Express percentage as decimal
![Total = n + 0.02 * n](https://tex.z-dn.net/?f=Total%20%3D%20n%20%2B%200.02%20%2A%20n)
Now, we can solve further:
![Total = n + 0.02n](https://tex.z-dn.net/?f=Total%20%3D%20n%20%2B%200.02n)
![Total = 1.02n](https://tex.z-dn.net/?f=Total%20%3D%201.02n)
<em>Hence, the simplified expression is 1.02n</em>
As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of ![3x^{2} +7x-20](https://tex.z-dn.net/?f=%203x%5E%7B2%7D%20%2B7x-20%20)
As, x+4=0 gives x=-4.
So, option C is correct,
(x+4) is factor of ![3x^{2} +7x-20](https://tex.z-dn.net/?f=%203x%5E%7B2%7D%20%2B7x-20%20)
Option E is correct
![\frac{3x^{2} +7x-20 }{x+4}=3x-5](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%5E%7B2%7D%20%2B7x-20%20%7D%7Bx%2B4%7D%3D3x-5%20)
Answer:
...0
Step-by-step explanation: