The vertex is a minimum point. The y value of the vertex is the lowest point it hits. The graph is going down, the vertex is the lowest point of it
13-5=8
8+7=15 answer is 15
Answer:
Sixth day
Step-by-step explanation:
Keep adding 2 until you get to 13
Answer:
45 mph
Step-by-step explanation:
This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)
Let's keep track of what he does in the time allotted.
How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.
convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour
d = r*t
r = 30 km/hour
t = 1/12 hour
d = 30 km/hr * 1/12 hour = 2.5 km
Now she's about to start. She wants to catch him in 10 minutes
d = r*t
r = x mph
t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.
How far does he go in the 10 minute time?
d = 30 * 1/6 = 5 km
What is his total distance
5 km + 2.5 km = 7.5 km
Finally how fast does she need to go to catch him
d = 7.5 km
r = ? This is what you are trying to find
t = 1/6 of an hour
d = r*t
7.5 km = r * (1/6)hour divide by 1/6 hour
7.5 km // 1/6 hour = r
r = 7.5 * 6 = 45 mph
Answer:
D. (y +4)² = -4(x -2)
Step-by-step explanation:
The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.
The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...
x = (1 +3)/2 = 2
The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...
(y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)
The equation is ...
(y +4)² = -4(x -2)
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<em>Additional comment</em>
Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.
