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Katen [24]
3 years ago
7

A teacher writes two equations as shown.

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
A) J = (3/8)*(5/15 -6/15) = (3/8)*(-1/15) = (1/8)*(-1/5) = -1/40
.. K = (3/4)*(4/6 -5/6) = (3/4)*(-1/6) = (1/4)*(-1/2) = -1/8

B) (-1/40) +(-1/8) = -1/40 -5/40 = -6/40 = -3/20

C) The opposite of -3/20 is 3/20

D) Real world: I'm answering Brainly.com questions and one asks the opposite of -3/20.
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Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
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Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

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Step-by-step explanation:

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Step-by-step explanation:

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