Answer:
17. D
18. C
Step-by-step explanation:
For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.
<h3>17.</h3>
The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.
As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:
D. Y'(11, -8)
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<h3>18.</h3>
Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.
R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)
R' = (-2/3, 1) . . . . . matches choice C
The circle will have an area of approximately 78.5 square inches
There are 9 feet so it would usually be nine 12" pieces but since each cut takes away 1/8, you can only cut 8 pieces equal to 12 inches.
Considering this fact, each cut would take away 0.125 inches. If you're cutting 8 times, you would in all be taking away 1 inch.
So aside from the eight 12" sections, you would have a leftover of 11 inches.
It has infinite solutions
5925020 = 5000000+<u>900000</u>+20000+<u>5000</u>+20
Hope it helps. Please do comment