Ann is a professional photographer. She has a photo 8cm long and 6cm wide. A customer wants a print of the photo. The print is to be similar to the original, but have half the area of the original. Ann plans to reduce the length and width of the photo by the same amount. What are the dimensions of the print? (Show work)

6 cm by 4 cm

Step-by-step explanation:

Half of 48 = 24

(8-x)(6-x) = 24

x^2 - 14x + 24 = 0

FACTOR THE PROBLEM

x(x-2) -12(x-2) = 0

Therefore, x either equals 2 or 12

We reject 12 because it is larger than both of the original dimensions

CHECK

(8-2)(6-2) = 24

6 x 4 = 24

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )