Show that the points A(2, 2), B(5, 7), C(-5, 13), and D(-8, 8) are the vertices of a rectangle. A. AB = CD = 18; BC = DA = 4
B. AB = CD = 134; BC = DA = 136
C. AC = BD = 170
D. AB = CD = 34: BC = DA = /136; AC = BD = v170

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

b is the correct answer