Slader In this problem we want to calculate the number of two element lists (a, b) we can form using the numbers 0, 1, . . . n with a < b. (a) Show that the answer is (n + 1)n/2 by considering the number of two-element lists (a, b) in which a < b or a > b. (b) Show that the answer is also 1 + 2 + 3 + · · · + n. Taken together (a) and (b) prove the formula Xn k=1 k = (n + 1)n 2

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

c

step-by-step explanation:

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .