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

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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step-by-step explanation: