Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and <em>a </em>= 1/10
The focus of a parabola is located ar F(h, k+p), where <em>p</em> = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Either C or B because your credit helps alot with your home and also helps with credit cards. I'm leaning more towards C though.
Answer:

Step-by-step explanation:


Let's solve for
in the first equation and then solve for
in the second equation.
I will then use the following identity to get right of the parameter,
:
(Pythagorean Identity).
Let's begin with
.
Subtract 2 on both sides:

Divide both sides by -3:

Now time for the second equation,
.
Subtract 1 on both sides:

Divide both sides by 4:

Now let's plug it into our Pythagorean Identity:




x = -4, so use the first equation, x^2 = -4^2 = -16
x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2
Find the time it will take:
195 miles / 50 miles per hour = 3.9 hours.
1 hour = 60 minutes:
0.9 hours x 60 = 54 minutes.
3.9 hours = 3 hours and 54 minutes.
Add 3 hours and 54 minutes to the time it leaves:
3:30 pm + 3 hours = 6:30 PM
6:30 + 54 minutes = 7:24 PM