Which of the following is the factored for of the expression below 4x^2+12x+9

Step-by-step explanation:

to solve this problem, multiply the a and the c. In this problem, a is 4 and c is 9

4(9) =36

what two numbers multiply to get 36 and then add up to get b which is 12.

6 (6)

write the new value in the equation as b

4x^2 + 6x + 6x + 9

Now that you have four numbers, split the equations

(4x^2 + 6x) + (6x + 9)

take out the common factors

2x( 2x +3) + 3 (2x +3)

(2x + 3) ( 2x + 3 )

Since the solutions are the same

we write it as

( 2x +3) ^2

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.