Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± 
= ± 2i ( add 8 to both sides )
x = 8 ± 2i
Answer:
Step-by-step explanation:
<u>Given sequence:</u>
<u>This is AP with:</u>
- The first tern a₁ = - 3
- Common difference d = 3
<u>The rule for the nth term of the sequence is:</u>
<u>Substitute values:</u>
- aₙ = -3 + (n - 1)(3) =
- -3 + 3n - 3 =
- 3n - 6
Answer: 68 degrees
Step-by-step explanation:
2 petunias leave $6.50 on her wallet, and 8 leave $5.00. This means that 6 petunias cost $1.50, and that 1 petunia costs 25 cents.
.25 goes into 3.50 (the amount of money she has left in her wallet after buying 14 petunias) 14 times. 14 + 14 =28.
Ying Ying can buy 28 petunias at most.
1.414213562373095
This is an irrational number
