Answer:
7cm
Step-by-step explanation:
Area = Length x width
A = 35
w= L - 2
L = w+ 2
Now it becomes
35 = ( w+2) x w
35 = w^2 + 2w
W^2 + 2w - 35 = 0
By Factorization we have
( w + 7)( w-5)
w = 5cm
Since L = w + 2, we have
L = 5 + 2
= 7cm
Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)
Step-by-step explanation:
x^2-8x=24 <- subtract 24 from both sides
x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a
-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify
(-(-8) +/- 4sqrt(10) )/2 <- sepereate
(-(-8) +/4sqrt(10) )/2 , (-(-8) - 4sqrt(10) )/2 <- simplify
2(2+sqrt(10)) , 2(2-sqrt(10) =x
59.99 - 59.99 x saving rate = 42.89
with saving rate = r%
59.99 - 59.99 x r% = 42.89
so 59,99 ( 1 - r%) = 42.89
1 - r% = 42.89 : 59.99
1 - r% = 0,7150
r% = 1 - 0,7150
r = 28,5%
Answer:
The inverse of the function is ![f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
Step-by-step explanation:
Inverse of a function:
Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.
In this question:
Exchanging x and y:
![y = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
The inverse of the function is
Answer:
16
Step-by-step explanation:
The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.
