If rectangle defg is dilated by a scale factor of 3 with a dilation center of (0, 0), what will be the coordinates of point d'?
a) (-6, 0)
b) (3, -2)
c) (-6, -3)
eliminate
d) (-6, -2)

C). (-6, -3)

Step-by-step explanation:

We have been given a rectangle DEFG on coordinate plane. We are asked to find the coordinates of point D after a dilation by a scale factor of 3 with center of dilation at origin (0,0).

Since dilating a figure by a scale factor (k), we multiply the coordinates of all points of the figure by the scale factor k.

We can see that coordinates of point D are (-2,-1). After dilation by scale factor  of 3 coordinates of D will be:

Therefore, the coordinates of point D will be (-6,-3) and option C is the correct choice.

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

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

combining like terms

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

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1