There are several ways in which we could answer this question. My choice is to actually solve the given quadratic equation, x^2 + 4x + 4 = 12.
Note that x^2 + 4x + 4 is a perfect square. Thus,
x^2 + 4x + 4 = 12 is the same as (x+2)^2 = 12, so that
x+2 = plus or minus √3*√4, or plus or minus 2√3.
Thus, the two real, unequal roots are
x = -2 + 2√3 and x = -2 - 2√3. These correspond to answer choices C and E.
It's $21,000. You multiply $24,000 by 12.5% which is $3,000 then you minus that to 24,000.
Base of the courtyard = sqrt(90) = 3sqrt(10)
Height of the courtyard = 10 + sqrt(3)
Area of the courtyard = 1/2 x 3sqrt(10) x (10 + sqrt(3)) = 15sqrt(10) + 3/2sqrt(30)
Answer:
$136
Step-by-step explanation:
x = per hour
y = total profit
4 + 4 = 8
Equation:
y = 18x - 8
y = 18(8) - 8
y = 144 - 8
y = 136
she has 16 friends because 16 multiply 2 is 32 and 40 - 32 is 8
