Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3
1 answer:
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Answer:
Step-by-step explanation:
Not sure what form you need this in, but it really doesn't matter, as you'll see in the final equation. I used the vertex form and solved for a:
We are given the vertex (h, k) as the origin (0, 0), and we have a point that the graph goes through as (4, -64). That's our x and y. Plugging in what we have:
gives us
-64 = 16a and
a = -4. That means that the quadratic equation is
which is both vertex form and standard form here, no difference.
Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet
Answer:
B. 6 1/4
Step-by-step explanation:
The computation of the more flour Nicholas needed for making the cake and cookies is shown below:
= 11.75 - 5.50
= 6.25 more cups of flour
Therefore to make the cookies and cakes, 6.25 more cups of flour is required or needed and the same is to be considered
hence, the correct option is B. 6 1/4