Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
Answer:
Factor the numerator and denominator and cancel the common factors.
x/4+3/2 or 32/4 or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer
Step-by-step explanation:
Answer: Brian & Derek will earn $25 If they sell 8 and 12.
Step-by-step explanation:
3 ways to express 3 to the 5th power as the product of powers
First expression
=> 3 x 3 x 3 x 3 x 3 - In this expression, we multiplied 3 5 times and the product is 243
Second expression
=> 3 ^ 5, in where ^ read as raised to the power, the product is also 243
Third expression
=> 3^2 x 3^3
=> (3 x 3) x (3 x 3 x 3)
=> 9 x 27, the product also equals to 243.
Answer:
D. tan(-π/6)
Step-by-step explanation:
The tangent function is periodic with a period of π, so ...
tan(5π/6) = tan(5π/6 ± kπ) . . . for any integer k
For k = -1, we have ...
tan(5π/6) = tan(5π/6 -π) = tan(-π/6)
