Find the distance between the point P(-8,7) and Q(-3,4)

5.830952

Step-by-step explanation:

Distance Equation Solution:

d=(−3−(−8))2+(4−7)2

√d=(−3−(−8))2+(4−7)2

d=(5)2+(−3)2

√d=(5)2+(−3)2

d=25+9

√d=25+9

d=3–√4d=34

d=5.830952

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