Set up and solve a quadratic equation: the screen of a new laptop has a diagonal of 17 inches. if the length of the computer is 1 inch less than twice the width, find the dimensions of the computer.

width = 8 in

height = 15 in

Step-by-step explanation:

considering the pythagorous theorem

hypotenuse = length of diagonal = 17 in

base = width = w

height = L = 2w -1

applying the quadratic formula two roots for w:

 w = 8 ; w = -7.2

as width cannot be negative

so

w = 8 in

L = 2w -1

L = 16 -1

L = 15 in

a=r

d=q

c=p

b=s

hope this !

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.