A computer company makes a rectangular screen with a diagonal of 20 inches. The width of the screen is 4 inches less than its length. The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the screen? x = –16 x = –12 x = 12 x = 16

Step-by-step explanation:

x = length of screen

x-4 = width of screen

x² + (x-4)² = 20²

x² + (x²-8x+16) = 400

2x² - 8x - 384 =  0

x² - 4x - 192  = 0

use the quadratic formula to solve for x

x = [4 ± √(4²-4·1(-192))]/[2·1]

= [4 ± √784]/2

= 4 ±  28]/2

= 16, -12

-12 is an extraneous solution, so x = 16 inches.

Exponents need to be marked with a ^. For example, (x-4)² can be written (x-4)^2.

36 is the final answer! : )

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 : )