Alvin paddled for 3 hours with a 4-Km/h current to reach a campsite. The return trip against the same current took 7 hours. find the speed of the boat in still water. The speed of the boat in still water was Km/h?

Alvin's average paddling 3km/h .The speed of the boat in still water was Km/h is given below

Step-by-step explanation:

Let the boat speed in still water be x km/hr.

We know the current is 3 km/h so:

4(x+3) =  7(x-3)

4x + 12 = 7x - 21

-3x  = -33

x = 11 km/h

Therefore the speed of the boat in still water is 11 km/h

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0