A x = 0
using the law of exponents
= 1
for (6² )^ x = 1 then x = 0
B note that
= 1 ⇒ x = 1
2 → 2^8 × 3^(-5) × 1^(-2) × 3^(-8) × 2^(-12) × 2^(28)
= 2^(8 -12 + 28) × 1 × 3^(- 5 - 8)
= 2^24 × 3^(- 13) = 2^(24)/3^(13) = 10.523 ( 3 dec. places)
It would be B. 11 is bigger then 6
Consider we need to find the equation of the circle.
Given:
The Center at (-4,-1), radius = 2.
To find:
The equation of the circle.
Solution:
The standard form of a circle is

Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting h=-4, k=-1 and r=2, we get


Therefore, the equation of the circle is
.
Answer:
Option (D)
Step-by-step explanation:
Formula to get the area of a regular polygon in a circle will be,
Area = ![n[\frac{1}{2}\times (\text{Base})\times (\text{Height})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7BBase%7D%29%5Ctimes%20%28%5Ctext%7BHeight%7D%29%5D)
= ![n[\frac{1}{2}\times (\text{s})\times (\text{h})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7Bs%7D%29%5Ctimes%20%28%5Ctext%7Bh%7D%29%5D)
Here 'n' is the number of sides.
If n increases, h approaches r so that 'rh' approaches r².
In other words, if the number of sides of the polygon gets increased, area of the polygon approaches the area of the circle.
Therefore, Option (4) will be the answer.