The drawing below shows a row of grocery carts that have been " nested" together. The carts are each 32in. Long. Each cart after the first adds 11 in. To the length of the row . Show how the length of the row depends on the number of carts. What would be the length of a row of 20 nested carts?

Length of Row of n cart  = 11(n-1)+32 inches

The length of row for 20 nested carts will be = 11(20-1) +32 = 209 + 32 =241 inches.

Step-by-step explanation:

The length of one cart is 32 inches.

When you nest two cart, the length of the second cart will be 11 inches, so the total length of two nested cart will be 43 inches. From the this statements we can derive the following.

Length of Row of 1 cart   = (1-1)*11+ 32 =32 inches

Length of Row of 2 cart   =(2- 1)*11+32 = 43 inches

Length of Row of 3 cart   = (3-1)*11 +32 = 54 inches

Length of Row of 4 cart  = (4-1)*11 + 32 = 65 inches

Length of Row of 5 cart  = (5-1)*11+32 = 76 inches

Length of Row of 6 cart  = (6-1)*11+32 = 87 inches

Length of Row of 7 cart  = (7-1)*11+32 = 98 inches

Length of Row of 8 cart  = (8-1)*11+32 = 109 inches

Length of Row of 9 cart  = (9-1)*11+32 = 120 inches

Length of Row of 10 cart  = (10-1)*11+32 = 131 inches

Length of Row of n cart  = (n-1)*11 + 32 =11(n-1)+32 inches

The relationship between the length of the row and the number of carts is given as Length of Row of n cart  = 11(n-1)+32 inches

where n is the number of carts

The length of row for 20 nested carts will be = 11(20-1) +32 = 209 + 32 =241 inches.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11