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andrew11 [14]
3 years ago
8

Find the coordinates of the point 7/10 of the way from A to B.

Mathematics
1 answer:
Mkey [24]3 years ago
3 0

Answer:

The coordinates are (6.5, 1.7).

Step-by-step explanation:

The difference between A and B's x-coordinate is 15.  7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.

The difference between A and B's y-coordinate is 11.  7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.

Therefore, the coordinates are (6.5, 1.7).

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Answer:

The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.

However, we only know that D is congruent to P, not M.

These triangles are not necessarily congruent.

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How do the graphs of y=1/x and y=5/x+6<br><br> compare?
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Answer:  The graph is attached.

Step-by-step explanation:  The given functions whose graphs are to be compared are as follows:

y=\dfrac{1}{x},~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)\\\\\\y=\dfrac{5}{x}+6.~~~~~~~~~~~~~~~~~~~~~~~~~(B)

In the attached figure, the graphs of both (A) and (B) are shown. We can easily see see from there, the shapes of both the graphs are same.

But, at x = 0, y = ∞ and at x = ∞, y = 0 in graph (A).

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Thus, the comparison can be seen in the figure very clearly.

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