Answer:
-------> 
-------> 
-----> 
-------> 
-------> 
-------> 
Step-by-step explanation:
we know that
The standard form of a vertical parabola is equal to

where
(h,k) is the vertex
the focus is (h, k + p)
and
the directrix is y = k - p
Part 1) we have

Convert to standard form

The vertex is the point 


the directrix is equal to
----->
Part 2) we have

Convert to standard form

The vertex is the point 


the directrix is equal to
----->
Part 3) we have

Convert to standard form

The vertex is the point 


the directrix is equal to
----->
Part 4) we have

Convert to standard form

The vertex is the point 


the directrix is equal to
----->
Part 5) we have

Convert to standard form

The vertex is the point 


the directrix is equal to
----->
Part 6) we have

Convert to standard form

The vertex is the point 


the directrix is equal to
----->
Answer:
F=15
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total cost to rent a bike in dollars
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope or the unit rate of the linear equation
b is the y-intercept or the initial value
In this problem we have
The unit rate or slope is equal to

The y-intercept (value of y when the value of x is equal to zero) is equal to
----> (fee charge)
substitute the values

Answer:
tan²x + 1 = sec²x is identity
Step-by-step explanation:
* Lets explain how to find this identity
∵ sin²x + cos²x = 1 ⇒ identity
- Divide both sides by cos²x
∵ sin x ÷ cos x = tan x
∴ sin²x ÷ cos²x = tan²x
- Lets find the second term
∵ cos²x ÷ cos²x = 1
- Remember that the inverse of cos x is sec x
∵ sec x = 1/cos x
∴ sec²x = 1/cos²x
- Lets write the equation
∴ tan²x + 1 = 1/cos²x
∵ 1/cos²x = sec²x
∴ than²x + 1 = sec²x
- So we use the first identity sin²x + cos²x = 1 to prove that
tan²x + 1 = sec²x
∴ tan²x + 1 = sec²x is identity