Answer:
x = 271 degrees
Step-by-step explanation:
A: f(x) = 3x - 1
B: f(x) = -x + 3
C: f(x) = 3
D: f(x) = x+3
Answer:
In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.
Hey, CadenClough! For this, it's best to use algebra. We know that rectangles have two of each measure: two lengths and two widths. This means the formula to find the complete perimeter of the rectangle is 2l + 2w = p.
Now let's look at the problem. For length, we have x + 3 and for width we have 2x - 6. First off, fill in the values for length and width in the perimeter equation like this:
![2(x + 3) + 2(2x - 6) = 26](https://tex.z-dn.net/?f=2%28x%20%2B%203%29%20%2B%202%282x%20-%206%29%20%3D%2026)
Now distribute the 2:
![--> 2x + 6 + 4x - 12 = 26](https://tex.z-dn.net/?f=--%3E%202x%20%2B%206%20%2B%204x%20-%2012%20%3D%2026)
Combine like terms:
![2x + 4x + 6 - 12 = 26](https://tex.z-dn.net/?f=2x%20%2B%204x%20%2B%206%20-%2012%20%3D%2026)
Simplify:
![6x - 6 = 26](https://tex.z-dn.net/?f=6x%20-%206%20%3D%2026)
Isolate x:
![6x = 26 + 6](https://tex.z-dn.net/?f=6x%20%3D%2026%20%2B%206)
--> ![x = \frac{32}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B32%7D%7B6%7D)
Now plug in the value of x:
![2(\frac{32}{6} + 3) + 2(2 * \frac{32}{6} - 6)](https://tex.z-dn.net/?f=2%28%5Cfrac%7B32%7D%7B6%7D%20%2B%203%29%20%2B%202%282%20%2A%20%5Cfrac%7B32%7D%7B6%7D%20-%206%29)
= 64/3 - 12 + 32/3 + 6
= 26
So x =
or 16/3.