Answer:
x = 9 + 6i or x = 9 - 6i
Step-by-step explanation:
x² - 18x + 117 = 0
Complete the square and solve:
(x - 9)² - 81 + 117 = 0
(x - 9)² + 36 = 0
(x - 9)² = -36
x - 9 = ±sqrt(-36)
x - 9 = ±sqrt(-1).sqrt(36)
i = imaginary number = sqrt(-1)
x - 9 = ±6i
x = 9 ± 6i
There are no real solutions, only imaginary ones
9 + 6i and 9 - 6i
Answer:
C
Step-by-step explanation:
The radius is 4 making the diameter 16 you need the other side since in half so that leaves you with answer C...16
Answer:
x < 2
Step-by-step explanation:
Given
10x > 8(3x - 2) - 12 ← distribute parenthesis on right side
10x > 24x - 16 - 12, that is
10x > 24x - 28 ( subtract 24x from both sides )
- 14x > - 28
Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.
x < 2
“Times as fast” means you need to multiply the original speed (10^11) by how many times faster the faster processor works:
10^11 instructions/second • 10^3 faster = 10^14 instructions/second
The key is “___ times as fast”.
Answer:
d-2 and d cannot = 8
Step-by-step explanation:
d^2 -10d+16
-----------------------
d-8
Factor the numerator
( d-8)(d-2)
-------------------
d-8
The undefined values occur when the denominator is equal to zero
d-8 = 0
d= 8
This means d cannot equal 8
Now cancel like terms in the equation ( d-8)
This yields d-2