The variable z varies jointly with x and y. also, z = -75 when x = 3 and y = -5. what equation describes this variation? what is the constant of variation? k =

z = 5xy

Step-by-step explanation:

since z varies jointly with x and y then

z = kxy ← k is the constant of variation

to find k use the given condition z = - 75 when x = 3 and y = - 5

k = = = 5 and

z = 5xy ← equation of variation

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)