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Plot the image of B under a dilation about the origin with scale factor of 2/3 .

Plot The Image Of B Under A Dilation About The Origin With Scale Factor Of 23 class=

Sagot :

Answer:

We plot the dilated point at (8.67, 8)

Explanation:

The original coordinates of the point are

[tex]B(13,12)[/tex]

Dilating the point about the origin by a scale factor of 2/3 means that we multiply the coordinates by 2/3.

Multiplying the coordinates of B by 2/3 gives

[tex](13,12)\times\frac{2}{3}=(13\times\frac{2}{3},12\times\frac{2}{3})[/tex][tex]=(\frac{26}{3},\frac{24}{3})[/tex]

which in decimal form is

[tex](8.67,8)[/tex]

Hence, the coordinates of the dilated point are (8.67, 8).

View image AlveenaJ228804