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Sloan [31]
3 years ago
10

Please help me with these rotation problem.​

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

Answer:

  see below

Step-by-step explanation:

In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)

__

I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.

As always, the rotation transformations are ...

  180° — (x, y) ⇒ (-x, -y)

  270° — (x, y) ⇒ (y, -x)

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Answer:

A. (1, -2)

Step-by-step explanation:

We can substitute the variables of x and y into the inequality of y < -|x|.

Let's start with A, -2 being y and 1 being x.

-2 < - |1|

The absolute value of 1 is 1, and negating that gets us -1.

-2 < -1

Indeed, -2 is less than -1! So A is a solution to the inequality.

Let's test the rest of them, just in case.

For B:

-1 < -|1|

Absolute value of 1 is 1, negating it is -1.

-1

-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.

Let's try C.

0 < -|1|

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0 is GREATER than -1, so that is not a solution to the inequality.

Hope this helped!

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Answer:

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Step-by-step explanation:

The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)

Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)

Now set the following equation:

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120 m = 80 m + x  --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides

120 m - 80 m = x  --> perform the subtraction 120 m - 80 m = 40 m

40 m = x

Which tells us that the third unknown side has a length of 40 m

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