Completing the square is done as follows:<span>
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
</span>x^2 – 6x = 5<span>
2. Make sure that the coefficient of the x^2 term is 1.
</span>x^2 – 6x = 5<span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
</span>x^2 – 6x + 9 = 5 + 9<span>
(x-3)^2 = 14
Therefore, 9 should be added to both sides to complete the square.</span>
Answer:
d
Step-by-step explanation:
Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
Diameter of track (D) = 2 miles, Average rate (A) = 3 miles per hour
A = distance/ time
time (t) = distance/A
distance around the track (circumference) = πD = 3.142 × 2 miles = 6.284 miles
t = 6.284miles/3miles/hour = 2.1 hour
Therefore, 2.0 < t < 2.5
