Acomputer 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?

a.) x = –16

b.) x = –12

c.) x = 12

d.) x = 16

*the answer is d, x=16. if anyone wants to answer with an explanation of how this is the answer, i will reward them with brainliest.*

  x^2 +(x-4)^2 =20^2

  x^2 +(x-4)^2 =400

x^2 +(x-4)^2 -400=0

factor:

2x^2-8x-384=0

Factor the 2 out of 2X^2

2(x-16) (x+12) =0

 Divide both sides by 2

(x-16) (x+12) =0

X=16 , x=-12

 Number cannot be negative so x=16

 D.) x = 16

Step-by-step explanation:

Given: The dimensions of the computer screen are modeled by the equation :

To find the value of x , we need to solve the equation.

Now, the above equation can be written as :

Since side cannot be negative therefore, x= 16

x = 23.78

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.