Answer:
From the graph we can say that ant is moving faster than the ladybug
Slope of the ant's movement will be steeper than the ladybug
- Hence<u>, </u><u>line "</u>v" denotes the speed of ant and <u>line "</u>u" denotes the speed of ladybug.
Unit rate/slope of the graph is (distance traveled/elapsed time)
- <u>Unit rate of ant is 3/2 cm/sec</u> and <u>that of ladybug is 1 cm/sec.</u>
- Ant takes (12×2/3) =<u> </u><u>8</u><u> </u><u>sec</u> and ladybug takes (12×1) =<u> </u><u>12</u><u> </u><u>sec</u> to travel 12 cm.
Remember ant will take less time to travel a certain distance than ladybug.
C=x.19+.25
C means the total cost
X means the extra minutes
<h3>
Answer: (2, 3)</h3>
=================================================
Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
--------
Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Prime factorization of 620:
620
2 310
2 155
5 31
31 1
