Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.
m =
m =
m =
m = 6
Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.
y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
y - 18 = 6 (x - 3) Use he Distributive Property
y - 18 = 6x - 18 Add 18 to both sides
y = 6x
The equation of a direct variation line that includes the point (3, 18) is
y = 6x.
Answer:
x^2-4x+4-(x^2+6x+9)
Step-by-step explanation:
=x^2-4x+4-x^2-6x-9
=-10x - 5
For this problem, you need to substitute 4 in for your variable t. the original equation is S(t) and the one you need is S(4) -- in other words, evaluate this equation when t = 4.
S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.
Answer:
1200 miles.
Step-by-step explanation:
Let d represent one way distance.
We have been given that a plane averaged 800 mph on a trip going east, but only 400 mph on the return trip.
The time taken while going east would be .
The time taken while returning back would be .
Since the total flying time in both directions was 4.5 hr, so we will equate sum of both times with 4.5 as:
Make a common denominator:
Therefore, the one-way distance was 1200 miles.
I would say yes because they go up by 2 !