Aboat moves 60 kilometers east from point a to point b. there, it reverses direction and travels another 45 kilometers toward point a. what are the total distance and total displacement of the boat?

Total distance = 60 + 45 =  105 km , Total displacement = 60 - 45 = 25 km.

Step-by-step explanation:

Given : A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A.

To find :  What are the total distance and total displacement of the boat?

Solution : Let boat's initial point is A.

It moves form A to B = 60 km.

it reverse its direction and move toward A = 45 km at any point .

So, Total Distance = Total path covered by boat.

Total distance = 60 + 45 =  105 km.

Total displacement = initial point - final point.

So, Total displacement = 60 - 45 = 15 km.

Therefore ,Total distance = 60 + 45 =  105 km , Total displacement = 60 - 45 = 15 km.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions