Enlarge the triangle by scale factor 1.5 using (4,4)
as the center of enlargement.

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)

If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)

From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4)  as the center of enlargement.. Hence the new points are:

For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)

For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)

For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -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".