Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
<u><em>Answer:</em></u>
y^2 = 28x
<em><u>Step-by-step explanation:</u></em>
Since the directrix is horizontal, use the equation of a parabola that opens left or right.
(y−k)^2 = 4p(x−h)
Find the vertex.
(0,0)
Find the distance from the focus to the vertex.
p = 7
Substitute in the known values for the variables into the equation
(y−k)^2 = 4p(x−h).
(y−0)^2 = 4(7)(x−0)
Simplify.
<em>y^2 = 28x</em>
A = (2+9)/2
a = 11/2
a = 5.5
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b = (4+4)/2
b = 4
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d = √(9-2)²+(4-4)²
d = √7²+0²
r = 3,5
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(x-a)² + (y-b)² = r²
(x-5.5)² + (y-4)² = 3,5²
(x-5.5)² + (y-4)² = 12.25
Answer: 15 gallons of gas is required for a 705 miles trip.
Step-by-step explanation:
Since we have given that
Number of miles in a trip = 235 miles
Number of gallon of gas is needed = 5
We need to find the amount of gas required for 750 miles trip.
Since there is direct variation, as for increase in number of miles, amount of gas must be increased.
According to question, it becomes,

Hence, 15 gallons of gas is required for a 705 miles trip.