Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
Answer:
Step-by-step explanation:
25x^2-64=0
x=8/5, -8/5
Answer: 231
<u>Explanation:</u>
Liwen Celina
5x 6x
5x - 21 =
6x
5x - 21 = 4x
<u>-4x +21</u> <u>-4x +21 </u>
x = 21
Liwen: 5x = 5(21) = 105
Celina: 6x = 6(21) =<u> 126</u>
Total: 231
Answer:
4th term is 274.4 cm
5th term is 192.08 cm
Step-by-step explanation:
Here, we want to get the 4th and 5th term
Let us get the common ratio;
That would be ;
392/560 = 560/800 = 0.7
The 4th term will be ar^3
= 800 * 0.7^3 = 274.4
The 5th term will be ar^4
= 800 * 0.7^4 = 192.08
Woah! A 29-gon. Impressive!
Sum of angles = 180(n-2) [where n is equal to the number of sides]
180(29-2)
180(27)
The sum of the interior angles of a regular 29-gon is 4860 degrees.
Hope that helps!