In the xy
xy-plane, line l
l passes through the origin and is perpendicular to the line with equation 5x−2y=8
5x-2y=8
. which of the following could be an equation of line l
l
?

a

5x−2y=8
5x-2y=8

b

y=
2
5
x
y=25x

c

2x+5y=0
2x+5y=0

d

y=−
5
2
x+4
y=-52x+4

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct