Complete the square to solve 3x2 + 12x = 9. O A. x=2+1
O B. %= 3 + 6
OC. X=-2+
O D.%-
D. x=-2 + 13

C) x = -2 ±

Step-by-step explanation:

3x² + 12x - 9 = 0

divide through by 3

x² + 4x - 3 = 0

add 3 to each side

x² + 4x = 3

divide 4 in half and square it; add it to each side of equation

x² + 4x + 4 = 3 + 4

(x + 2)² = 7

x + 2 =

x = -2 ±

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .