Aramp is being used to unload the back of a truck. the bottom of the ramp is 12 feet from the truck and the top of the ramp is lying on the back of the truck. if the back of the truck is 5 feet high, which of the following equations can be used to find the length of the ramp? 52 + b2 = 122 , 122 + b2 = 52, 52 + 122 = c2

The correct option is 3. The required equation is .

Step-by-step explanation:

It is given that the bottom of the ramp is 12 feet from the truck and the back of the truck is 5 feet high.

Let the length of the ramp be c feet.

The given information forms a right angled triangle. Where bottom of the ramp  from the truck is base, height of the back of the truck is perpendicular and length of ramp is hypotenuses.

Base = 12 feet

Perpendicular = 5 feet

Hypotenuses = c feet

Using Pythagoras theorem,

The required equation is .

Therefore option 3 is correct.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is