Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as much on his pass as Alexis. Write an equation to represent this situation.

since J=2A

2A+20=1.5(A+20)

Step-by-step explanation:

J=2A

2A+20=1.5(A+20)

simplified for proof

J+20=1.5A+30

.5A=10

A=20

J=40

(a) There is a distance of 8 units from the center of the slide to the fountain.

(b) There is a distance of 5 units between the fountain and the bench.

(c) A right-angled scalene triangle is formed by the three points.

Step-by-step explanation:

Step 1:

First, we plot the points of the three locations. The drinking fountain at (7, 3), the bench at (2, 3) and center of the slide at (7, -5).

To calculate the distance between two points on a graph we use the formula; .

Step 2:

The center of the slide is at (7, -5) so ( , ) is (7, -5) and the fountain is at (7, 3) so (, ) = (7, 3).

So distance is = √ = 8 units.

Step 3:

The fountain is at (7, 3) so ( , ) is (7, 3) and the bench is at (2, 3) so (, ) = (2, 3).

So distance is = √ = 5 units.

Step 3:

By plotting the points on the graph, we get a horizontal line connecting the bench and the fountain and a vertical line by connecting the fountain and the slide.

So it is a right-angled triangle and since the line joining the bench and the slide is the hypotenuse, it will be longer than the other sides.

So the right-angled triangle is also scalene.