Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes is less than 18 minutes. Which inequal
2 answers:
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the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
well, to get it all we need is two points, say hmmm let's use (-1 , -7) and (7 , 25)
Answer:
Step-by-step explanation:
If the parabola is 72 m wide, then if we were to plot this parabola on a piece of (very large, lol) graph paper, we could plot one point at (72, 0) and the other one at (0, 0) since that would ensure that the arch is 72 m wide (72 - 0 = 72). The thing to remember now is that the vertex is exactly halfway between those 2 points with regards to the x-intercepts. In other words, if the width of the arch is 72 meters and the x values run from 0 to 72, then the x coordinate (or h, actually) of the vertex is 36 since 36 is halfway between 0 and 72 on the x-axis. Since the vertex goes up to 27 m, the k coordinate of the vertex is 27.
So here's what we have:
Coordinate points: (0, 0) and (72, 0)
Vertex: (36, 27)
We will use one of those coordinates along with the vertex in
and solve for a. Pro tip: since this is an upside down parabola, a better be negative when we solve for it!
Filling in x, y, h, and k:
and
and
and
so
which simplifies to
Writing the equation now looks like this:
Not sure what form you need that expressed in, but that's the vertex form so it should work, considering you were given a vertex to work with.