Answer: x - 5
Step-by-step explanation:
Since, the area of the rectangle =
Length of the rectangle = x+5
Let the width of the rectangle = b
Thus, the area of the rectangle = ![(x+5)\times b](https://tex.z-dn.net/?f=%28x%2B5%29%5Ctimes%20b)
⇒ ![(x+5)\times b=(x+5)(x-5)](https://tex.z-dn.net/?f=%28x%2B5%29%5Ctimes%20b%3D%28x%2B5%29%28x-5%29)
⇒ ![b=\frac{(x+5)(x-5)}{(x+5)}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B%28x%2B5%29%28x-5%29%7D%7B%28x%2B5%29%7D)
⇒ ![b=x-5](https://tex.z-dn.net/?f=b%3Dx-5)
Therefore, the expression that shows the width of the rectangle = x-5
#1 is 60\100 which can be reduced to 3\5
Answer:
![x =2 0](https://tex.z-dn.net/?f=x%20%3D2%200)
Step-by-step explanation:
![{81}^{5} = {3}^{x}](https://tex.z-dn.net/?f=%20%7B81%7D%5E%7B5%7D%20%20%3D%20%20%7B3%7D%5E%7Bx%7D%20)
We know that 3^4 = 81. So :
![= > { ({3}^{4}) }^{5} = {3}^{x}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%7B%20%28%7B3%7D%5E%7B4%7D%29%20%7D%5E%7B5%7D%20%20%3D%20%20%7B3%7D%5E%7Bx%7D%20)
![= > {3}^{4 \times 5} = {3}^{x}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%7B3%7D%5E%7B4%20%5Ctimes%205%7D%20%20%3D%20%20%7B3%7D%5E%7Bx%7D%20)
![= > {3}^{20} = {3}^{x}](https://tex.z-dn.net/?f=%20%20%3D%20%20%3E%20%20%7B3%7D%5E%7B20%7D%20%20%3D%20%20%7B3%7D%5E%7Bx%7D%20)
Here both the Right hand side & Left hand side has same base i.e. have 3 as base in both the sides.
So , eliminating the base gives :-
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
Answer: d = -3
Step-by-step explanation:
2d+3=7d+18
-5d=15
d=-3