Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
To make the equation easier to look at change it to this:
y = 15 - 3x
To find the x intercept say y = 0.
0 = 15 - 3x
Subtract 15 from each side.
-15 = -3x
Divide each side by -3.
5 = x <–––– x-intercept
The y-intercept of the equation is 15.
Hope this helps!
Answer:
Well, 60 (minutes in an hour) divided by 12 (from the problem) is 5, so you have to multiply that 5 by the 5 from the problem to find that the train is going 25 (5*5) mph. Just double this for two hours, and you result in 50!
Step-by-step explanation:
Answer:
x = 9
Perimeter = 74
Area = 342
Step-by-step explanation:
First, find x. to do so, set your formula up as
18 = 8x - 54
18 + 54 = 8x
72 = 8x
72/8 = x
9 = x
Now that you have x, find your missing side
2x + 1 = y, x
2 * 9 + = y
19 = y
Your perimeter is P = 2(l+W)
P = 2(18 * 19)
P = 74
Your area is A = wl
A = 19 * 18
A = 342
