Find the number that must be added to each expression to form a perfect square trinomial. then write the trinomial as a binomial squared.

x^2-24x+

( )^2

Thus, when 144 is added to the given expression to form a perfect square trinomial of

Step-by-step explanation:

We are given an expression

We have find the number such that expression form a perfect square trinomial.

Using identity

Comparing the above identity with the given expression,

We get and

Thus, b = 12

and

Thus, when 144 is added to the given expression to form a perfect square trinomial of

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

c: lkllmn.

hope it's you