Write the rule for finding the coordinates of a point’s 90⁰ clockwise rotation about the origin.

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

(x,y) -> (y,-x)

hope that help

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On a coordinate plane, what is the distance between the points (-1,5) and (2,5)? Enter the answer in the box.

zlopas [31]

Answer:

The distance between (-1,5) and (2,5) is √9 or 3.

Step-by-step explanation:

Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.

Now to the answer. To start you use the distance formula. which is:

d=√( (x2-x1)²+(y2-y1)²)

Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.

When you solve it should look like this:

1. d=√( (x2-x1)²+(y2-y1)²)

2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*

3. d=√( (3)²+(0)²)

4. d=√( 9+0)

5. √9 = 3

7 0

3 years ago

Find the area of the given quadrilateral.<br> Pls :)

Tasya [4]

I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.

However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.

In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.