How many variables are in the equation? 7y + 2x + 8 = 29 *
1 answer:
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Answer:
a) Δx = -35ft
b) Δx = -25ft
c) Kyle traveled 10ft more than John
Step-by-step explanation:
We define a coordinate reference system() in which y = 0 corresponds to the water surface.
a) The initial position of Kyle in our coordinate reference system is:
and his final position is:
Therefore, he traveled
Δx =
b) The initial position of John in our coordinate reference system is:
and his final position is:
Therefore, he traveled
Δx =
c) Then, Kyle traveled 10ft more than John
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function </u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).