we know that
the car gets 18 miles per -----------> 1 gallon of gasoline
so
for 543 miles ---------------------> x gallons of gasoline
by proportion
543/18=x/1---------->x=543/18------->x=30.17 gallons
therefore
the answer is
30.17 gallons
Answer:
Step-by-step explanation:
The vertex equation of a parabola is y - k = m(x - h)^2. This can be rewritten as y = a(x - h)^2 + k. Comparing this formula with the given f(x) = 9(x - 5)2 + 6, we see immediately that h = 5, k = 6 and a = 9. The vertex is at (h, k): (5, 6).
Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
i can help you with 1 .Sorry that i cant do 2 because number 2 doesnt have all the question in the photo.
Your answer would be -3/4n+3/8 because 1/4•-3/1n would be -3/4n and then 1/4•3/2 would be 3/8 so your answer would then be -3/4n+3/8.