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Nikolay [14]
3 years ago
9

Translate 7 units to the right and 4 units up. Then, rotate 180° about the origin.

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

Add 7 to the first value, 4 to the second, then flip the signs.

Step-by-step explanation:

Well we kind of need the current coordinates but I'll help to the extent I can!

In an ordered pair the first value is the (x) and the second is the (y) .

(x, y)

(x) is always the horizontal line (left & right).

(y) is always the vertical line (up & down).

So if you translate 7 units to the right, you'd add 7 to the (x) [First value in the ordered pair].

If you translate 4 units up, you'd add 4 to the (y) [Second value in ordered pair].

Now, rotating about the origin only changes whether the number is positive or negative.

If you rotate 180° it will just flip both of the values signs.

So if it was positive it becomes negative, if it was negative it becomes positive

Since I don't have the ordered pair I can't give you an answer but I can tell you what to do to get the answer.

Assuming it's a shape, for each point on the shape you will take it's coordinates, add 7 to the (x) and 4 to the (y), then flip the value sign.

Ex: If the starting coordinate was (-6, -3) we would add 7 to the (x), 4 to the (y) and get (-2, 4), flip the signs and end up with (2, -4).

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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Answer:

  e.  10√30

Step-by-step explanation:

In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:

  x/(10+50) = 50/x

Multiplying by 60x, we have ...

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  x = 10√30 . . . . . take the square root. Matches choice E.

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<em>Comment on estimating</em>

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

The only answer choice with a value between 50 and 60 is choice E.

You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.

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Step-by-step explanation:

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Step-by-step explanation:

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