Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with . . . Use decimal notation if necessary.

a. scale factor 5?

The image of AB will be 15 cm long after dilation by a scale factor of 5.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

Rule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin

AB = length → A'B'  = 5(length)

It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.

so

AB = 3 cm

Thus, the length of image A'B' will be:

A'B' = 5(3) = 15 cm

Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2