Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as ![\[\frac{x}{2}+4\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B2%7D%2B4%5C%5D%0A)
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
= ![\[2* (x + \frac{x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28x%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%2B4%29%5C%5D)
= ![\[2* (\frac{3x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28%5Cfrac%7B3x%7D%7B2%7D%2B4%29%5C%5D)
= ![\[3x + 8\]](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%5C%5D)
But perimeter is given as 56.
So, ![\[3x + 8 = 56\] ](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%20%3D%2056%5C%5D%0A)
=> ![\[3x = 48\]](https://tex.z-dn.net/?f=%5C%5B3x%20%3D%2048%5C%5D)
=> ![\[x = 16\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2016%5C%5D)
Hence length of the rectangle = 16 inches
Width of the rectangle =
= 12 inches
Answer:
The Celsius temperature is 5° when the Fahrenheit temperature is 41°.
Step-by-step explanation:
Given that:
F =
C + 32
Where,
F represents the temperature in Fahrenheit
C represents the temperature in Celsius
For calculating Celsius temperature from 41° Fahrenheit, we will put F=41 in given equation

Subtracting 32 from both sides

Multiplying both sides by 5/9

C = 5°
Hence,
The Celsius temperature is 5° when the Fahrenheit temperature is 41°.
Remember the f(x) is the same thing as y so...
y = -3x + 5
y = -1
To solve this plug -1 in for y in the equation y = -3x + 5 and solve for x
-1 = -3x + 5
-6 = -3x
2 = x
When f(x) is -1 then x is 2
Hope this helped!
~Just a girl in love with Shawn Mendes
The complex number would turn into 2(cos -pi+i sin -pi)