What number should be added to the expression x2+6x to change it into a perfect square trinomial?

a. 3

b. 6

c. 9

d. 12

Option (c) is correct.

The expression becomes

Step-by-step explanation:

Given expression

We have to find the number that must be added to the given expression so that it change it into a perfect square trinomial.

Consider the given expression

To make it a perfect square trinomial convert the given expression in the form of perfect square

Using the identity

Compare the given expression we have

a = x   ....(1)

⇒ 2ab = 6x  

From (1) , we have

⇒ 2b = 6

⇒ b = 3

Thus, to make perfect square we have to add term ,

That is  

Thus, the expression becomes  

Option (c) is correct.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)