(27⁽⁻ˣ⁺³⁾) (9⁽ˣ⁺¹⁾) = 81
Instead of using logarithmic to find x, Notice that 27, 9 and 81 are the perfect powers of 3. Since 27 = 3³, 9 = 3², and 81 = 3⁴, so
(3³⁽⁻ˣ⁺³⁾) (3²⁽ˣ⁺¹⁾) = 3⁴
3³⁽⁻ˣ⁺³⁾⁺²⁽ˣ⁺¹⁾ = 3⁴
If the bases are the same, then cancel it and bring the power as a new base.
3(-x+3) + 2(x+1) = 4
-3x + 9 + 2x + 2 = 4
-x + 11 = 4
-x = 4 - 11
-x = -7
x = 7
Answer:
22.

23.

Step-by-step explanation:
To change the equation to polar form replace x with 
and y with 
Answer:
120 yards
Step-by-step explanation:
We are given square with side length l. The largest circle that we can cut from that square has diameter equal to that side. This circle is called inscribed circle.
When cutting circle from square paper we will be left with some extra paper. Area of that extra paper can be calculated using formula:
area_of_extra_paper = area_of_square - area_of_circle
Now we can insert formulas:

This is area of extra paper when we cut one circle. When we cut multiple circles we have:

Where:
N = number of circles
This formula is roughly:
Hey, let's figure this out together. :)
The answer is 1 and 6. Now we can prove that is true.
1 x 6 = 6
1 + (6) = 7
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