8. Is acute.
11. Is right. (it contains a 45 degree angle)
Hope this helped you.
Answer: After 5 hours, Mary will be at the break even point.
To answer this question, we need to find the time when the cost equals the revenue.
Therefore, set our equations equal to each other and solve.
20 + 30h = 10h^2 - 80
0 = 10h^2 - 30h - 100
0 = h^2 - 3h - 10
0 = (h - 5)(h + 2)
Our solutions are h = 5 or h = -2. Only 5 hours makes sense in the context of this problem.
Answer:
Step-by-step explanation:
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
Answer:
6
Step-by-step explanation:
As the highest power of x in the expression is 6, the degree is 6
