Answer:
D
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
= (2 - 0) / (0 - (-3)
= 2/3
Y intercept 2
(2/3)x^2 -6x + 15 = 0
Using the quadratic formula:
x = [-b +-sq root(b^2 - 4 *a*c)] / 2a
x= [--6 +-sq root(36 -4*(2/3)*15] / 2*(2/3)
x= [6 +-sq root 36 -40] / (4/3)
x1 = 4.5 + (2i / (4/3))
x1 = 4.5 + 1.5i
x2 = 4.5 - (2i / (4/3))
x2 = 4.5 - 1.5i
Given:
Solution:
Complex formula:
Let us simplify one by one.
|3 + 4i| = 5
|3 - 4i| = 5
|-3 + 4i| = 5
|-3 - 4i| = 5
Substitute these in the given expression:
The solution of the expression is 20.
Answer:
- Considering the temperature is 0°C and
- It is changing at a rate of -3 per hour.
So, it took 11 hours for the change in temperature to be -33.
Step-by-step explanation:
Rate of change basically means the amount of change to how long it takes for the change to occur.
Rate of change = Change in Value/ Change in time
On a certain day the temperature changed at a rate of -3 per hour.
Let suppose the Temperature at 8:00 = 0°C
As the temperature changed at a rate of -3 per hour.
It means the Temperature at 9:00 = -3°C.
so
Rate of change = (-3 - 0)/(9:00 - 8:00) = -3°C per hour
So, the temperature to be -33°C, it would take 11 hour as -3 × 11 = -33.
Therefore, it took 11 hours for the change in temperature to be -33.
