10.50/5=2.10
2.10*4=8.40
She used to earn $8.50/hr
It is 130 beats per minute.
Step-by-step explanation:
Just divide 1560 by 12.
The answer is for 1st question is “10.4” and for the second question “non of these choices are correct”.
Explanation:
For the 1st question:
tan = opposite / adjacent
tan 30 = x / 18
18 tan 30 = x
x = 10.4
For the 2nd question,
If a triangle as an angle of 90 degree, it is 100% a right triangle.
Hope it helps :), mark me brainliest please!
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have




Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9