Applications of the Pythagorea Question 1 What is the distance between the points (-3, 4) and (5, 4)?​

8 units

Step-by-step explanation:

distance= sqrt((x2-x1)^2+(y2-y1)^2))

sqrt((5-(-3))^2+(4-4)^2))

sqrt(5+3)^2+(4-4)^2)

sqrt(8^2+(4-4)^2)

sqrt(64+(4-4)^2)

sqrt(64+0^2)

sqrt(64+0)

sqrt(64)

sqrt(8^2)

8

assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation:

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