Answer:
4
Step-by-step explanation:
Given
x² - 4x + 10 = 0
subtract 10 from both sides
x² - 4x = - 10
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 10 + 4
(x - 2)² = - 6
To complete the square add 4
Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
Answer:
24
Step-by-step explanation:
6 ÷ 1/4 = 6 × 4 = 24
