A square poster has an area measure of 324x^2 + 540x + 225 square units. Determine the side length of the poster.

Given the area, we need to find the side length. Let's start with the area equation for a square, where is the side length and is the area.

Substitute in the known value.

Now we need to factor the trinomial. The trinomial given for the area is a perfect square trinomial since () and () are both perfect squares.

We also know that , which we can use to factor.

Now, take the square root of both sides to fully isolate .

Keep in mind that the square root of any value squared is the original value.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

step-by-step explanation:

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