Answer:
The answer to your question is: x1 = - 7 + 9i x2 = -7 - 9i
Step-by-step explanation:
x² + 14x = - 130
x² + 14x + (7)² = -130 + (7)²
(x + 7)² = -81
x + 7 = ± √-81
i² = -1, then x + 7 = ±√ 81i²
x + 7 = ± 9i
x1 = -7 + 9i x2 = -7 - 9i
Answer:
14.04 miles per hour
Step-by-step explanation:
The problem is asking for Izumi's speed. The formula of speed is:
- s =
, where "s" means speed, "d" means distance and "t" means time.
The problem is also asking for the unit<u> miles per hou</u>r (
) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>
Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.
- 110 yards ÷ 1760
= 0.0625 miles (this is the distance covered by Izumi in miles)
Let's go back again to the formula: s = 
s =
= 0.0039 
Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.
So, if a minute has 60 seconds, then an hour has 3,600 seconds.
Thus, 0.0039
× 3,600
= 14.04 miles per hour (the answer)
The x-intercept is 8
the y-intercept is -10
Answer:
<em>3^2 ; Option B</em>
Step-by-step explanation:
We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

<em>3^2 ; Option B</em>