Answer:
Step-by-step explanation:
If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is
We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.
The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:
which simplifies to
Now we will solve it for x.
and
so
Answer:
25 + 0.15m = 71.8
Step-by-step explanation:
Given:
Fixed charge = $25
Additional charge for each mile = $0.15
Let number of miles driven be m.
Total Billed amount = $71.80
Now total bill amount is calculated by adding fixed charge with additional charge for each mile times number of miles.
Hence,
Total Billed amount = Fixed charge + Additional charge for each mile × number of miles driven
25 + 0.15m = 71.8
Hence the equation is 25 + 0.15m = 71.8.
Velocity=distance/time
Data:distance=10 Km=10 km*(0.621 miles/1 km)=6.21 miles.time=55 minutes
Velocity=6.21 miles/55 minutes=0.11290909... miles/minute≈0.113 miles/ minute
Data: distance=1 mile.velocity=0.113 miles/minute
time=distance /velocitytime=(1 mile) / (0.113 miles/ minute)=8.85668... minutes≈8.86 minutes.
Answer: D 8.86 minutes.
Answer:
x = 3
Step-by-step explanation:
If the triangles are congruent then
4x + 1 = 13
4x = 12
x = 3
