Answer:
Step-by-step explanation:
1. Convert mixed number to improper fraction and divide.
2. Use a calculator.
Answer:
1) factor pairs- 1*328, 2*164, 4*82, 8*41
1,2,4,8,41,82,164,328
2) 2^3, 41
not a prime number
Answer: indirect characterization
Step-by-step explanation:
Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.
Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.
h² + 14h + (14/2)² = -31 + (14/2)²
Simplify the parenthesis and exponent.
h² + 14h + 7² = -31 + 7²
h² + 14h + 49 = -31 + 49
h² + 14h + 49 = 18
Factor the expression of the left.
(h + 7)(h + 7) = 18
Take the square root of both sides.
√(h + 7)(h + 7) = ± √9 • 2
(h + 7) = ± 3√2
h + 7 = ± 3√2
Subtract 7 from both sides.
You solutions are:
h = -7 + 3√2 → -2.7573 → -2.76
h = -7 - 3√2 → -11.2426 → -11.24
Not proportional, because the 185 divided by three isn’t 65. However, the others were 65 so it wasn’t consistent.
The constant would be 65.