Answer:
256
Step-by-step explanation:
First, handle the exponent:
2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)
Now multiply those two outcomes:
4*64=<u>256</u>
This equation is also known as 4⁴
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
a = 21/(1 + 2 + 4) = 21/7 = 3
Therefore, the numbers are 3, 6 and 12.
Answer: -11
Step-by-step explanation: 5 squared is 25 and 12(-3) is 36 and 25+-36=-11
M/_XYZ is 50°, if you need to copy and paste the degrees symbol, here it is: °
Answer:
6(1-x) is the answer your looking for if I'm right
