Answer:
See explanation
Step-by-step explanation:
You have not provided the options to help us give you a specific answer.
If a quadratic function is written in the form
Then (h,k) is the vertex, and 'a' is a constant.
For instance
has vertex at (2,3).
Also, an absolute function in the form
has vertex at (h,k).
This means
also has vertex at (1,3).
I hope this explanation is helpful.
Answer:
width: 8.5
length: 4
Step-by-step explanation:
width: x
length: 2x - 13
area = length * width
34 = (2x - 13)x
34 = 2x² - 13x
2x² - 13x - 34 = 0
(2x - 17)(x + 2) = 0
2x - 17 = 0
2x = 17
x = 8.5
x + 2 = 0
x = -2 width cannot be negative so discard this
width: x = 8.5
length: 2x - 13 = 2(8.5) - 13 = 4
(3,4) Domain is the x value so I kept it as 3
Answer:
30 degrees
Step-by-step explanation:
Since one leg is half the length of the hypotenuse, it's a 30-60-90 right triangle. Therefore, the angle opposite the smaller leg is 30 degrees.
Set up a proportion with Katie’s height / Katie’s shadow = roller coasters height / its shadow. So it is 5 feet / 2 feet = x feet / 60 feet. To solve cross multiply so it becomes 2x = 300 and x = 150 feet