Write the coordinates of point A after dilation with a scale factor of 3, centered at the origin.

Given:

Given that the graph of the triangle ABC.

The coordinates of the triangle are A(2,-1), B(-1,1) and C(1,-2)

We need to determine the coordinates of the point A after the dilation with a scale factor of 3 centered at the origin.

Coordinates of the point A after dilation:

The general rule for a coordinate to dilate a factor of c from the origin is given by

Thus, applying the above rule, the coordinate A(2,-1) is dilated by a scale factor of 3 about the origin, we get;

Simplifying, we get;

Thus, the coordinates of point A after dilation with a scale factor of 3 centered at the origin is (6,-3)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions