Answer:
Bri what do you mean explanation your answer is correct
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Answer:
(1, 0)
Step-by-step explanation:
Please write this as y^2 = 4x; the " ^ " indicates exponentiation.
The appropriate equation for a horizontal parabola that opens to the right is
y^2 = 4px
Here, we are told that y^2 = 4x; this tells us that 4p = 4, and so p = 1.
Again, this parabola is a horizontal one and it opens to the right. p = 1 is the distance of the focus from the vertex, and in this case p = 1. Thus, the focus is at (1, 0) (situated on the x-axis).
Answer:
(a) (2, -2)
(b) 2.5 miles
Step-by-step explanation:
(a) The distance from Olivia's house (-5, 5) to the market (-5, -5) is the distance from 5 to -5 on the line x=-5. That distance is 5 -(-5) = 10 units.
The distance from Jen's house to the theater is half this, or 5 units. The theater is "directly below" Jen's house, so will have the same x-coordinate, and a y-coordinate that is 5 units less than that of Jen's house. The theater is located at ...
... (2, 3) -(0, 5) = (2, -2) . . . . theater location
(b) The 5 units from Jen's house to the theater represent a distance of ...
... 5 × (1/2 mile) = 5/2 miles = 2.5 miles
