Step-by-step explanation:
Let xy = k, where k is the constant of variation.
By using values of x and y in the table,
we see that (2)(48) = (4)(24) = (12)(8) = 96.
Hence k = 96, which is our answer.
110.231 pounds
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We will check if y and 60cm are parallel.
If the lengths 28cm, 56cm and 15cm, 30cm are in proportion, then y and the segment 60cm are parallel.
OK. We know: y and 60cm are parallel. Therefore we have equation:
<h3>Answer: y = 90 cm.</h3>
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
