When a river flows, the strength or force of the river depends on how far the river falls vertically compared to how far it flows horizontally find the slope of the river shown to the right. 81ft width 384 is the length

The slope of the river is 0.210 ft.

Step-by-step explanation:

Given : When a river flows, the strength or force of the river depends on how far the river falls vertically compared to how far it flows horizontally, 81 ft width 384 is the length.

To find : The slope of the river?

Solution :

Slope is defined as how many units we move along the y-axis when we move along the x-axis.

We have given length i.e. horizontal distance or x-axis of the river is 384 ft.

and width i.e. vertical distance or y-axis of the river is 81 ft.

By definition of slope,

Therefore, The slope of the river is 0.210 ft.

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .