If DA equals 6 units, AB equals 16 units, and HE equals 36 units, what does EF equal?
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute
we have
An x-intercept of (-1,0)
substitute and solve for a
The equation is
<u><em>Verify the y-intercept</em></u>
For x=0
The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure
Answer:
Her aunt buy <u>75</u> trucks.
Step-by-step explanation:
Given:
Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks, Henry noticed that a fifth of his collection were convertible.
Now, to find the trucks her aunt buy.
Let the total collection of Henry be
<em>Number of trucks Henry had in his collection = 5.</em>
<em>Number of convertibles Henry had in his collection = 20.</em>
As, Henry's collection were convertible.
Now, to get the total number of collection:
<em>Multiplying both sides by 20 we get:</em>
<em>Total collection of Henry = 100.</em>
So, the total number of trucks he had in his collection is:
<u><em>Total collection of Henry - number of convertibles Henry had in his collection.</em></u>
<em>Hence, Henry had total 80 trucks in his collection.</em>
<em>And 5 trucks he had already in his miniature car collection.</em>
Now, to get the number of trucks her aunt buy we subtract trucks he had already in his miniature car collection from the total number of trucks in Henry's collection:
<u><em>Total number of trucks in Henry's collection - Number of trucks already in his miniature car collection.</em></u>
Therefore, her aunt buy 75 trucks.