The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
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Complete Question
The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?
a. 1.37 minutes
b. 1.27 minutes
c. 2.27 minutes
d. 1.27 seconds
Answer:
1.27 minutes
Step-by-step explanation:
Emmett ran a mile in 9.73 minutes
Kate ran a mile in 10.87 minutes
Rubin ran a mile in 8.46 minutes.
How many more minutes did Emmett run than Robin?
This is calculated as:
Number of minutes Emmett ran - Number of minutes Rubin ran
= 9.73 minute - 8.46 minutes
= 1.27 minutes
Option b is correct
Increase : 29.96
Decrease: 26.04
AB= 45 degrees central angle theorem