Vector r = <-3, 5> and vector s = <-5, 8>. Determine r + s

< - 8, 13 >

Step-by-step explanation:

r + s

= < - 3, 5 > + < - 5, 8 > ← add corresponding components of the vectors

= < - 3 - 5, 5 + 8 >

= < - 8, 13 >

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

about 0.75 hours

step-by-step explanation: