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krok68 [10]
3 years ago
11

Will Give Brainliest!Find the function rule.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0
<h3>Answer:</h3>

y = -5x -1

<h3>Step-by-step explanation:</h3>

Changes in x-values are constant and are +1.

Changes in y-values are constant and are -5.

Because the ratio of changes in y to changes in x is constant (-5/1) = -5, you know the function is linear. To write the equation, you can use the slope-intercept form, since you know the slope (-5) and the table shows the y-intercept: (x, y) = (0, -1).

The rule is ...

... y = -5x -1

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Explanation:

Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.

If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.

Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.

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