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hodyreva [135]
3 years ago
10

Orlando is doing a math problem where he needs to dilate a triangle by a scale factor of four. The ordered pairs for his pre-ima

ge are (-2, 1), (8, 4), and (3, 0). Which of the following ordered pairs is not coordinates for a point in his image?
(12, 0)
(-8, 4)
(32, 16)
(2, 1)
Mathematics
2 answers:
Papessa [141]3 years ago
8 0

Answer:

(2, 1)

you can figure this out by doing (x, y) times 4 (4 is the scale factor)

> (-2, 1) x 4 = (-8, 4)

> (8, 4) x 4 = (32, 16)

> (3, 0) x 4 = (12, 0)

out of the options, (2, 1) isn't an answer to any of the equations-

therefore, (2, 1) is the answer

Rainbow [258]3 years ago
5 0
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).



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Answer:

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We use casework on when 3x-9=12 and when 3x-9=-12.

For the first case, 3x-9=12, we add 9 to both sides to get

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Checking both cases, we plug in x=7 and x=-1.

For the first case, we have |3(7)-9|=|21-9|=|12|=12,  which satisfies the equation.

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This gives us two solutions to the equation; x=7 and x=-1.

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The Retail Shoppe purchases an item for $40. They sell it at a 25% markup. For how much money does the Retail Shoppe charge for
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Answer:

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