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katrin [286]
3 years ago
11

Which statement accurately describes how to perform a 90° counterclockwise rotation of point A (−1, −2) around the origin? Creat

e a circle with point A as its center and a radius of the origin and point A, then locate a point on the circle that is 90° clockwise from point A. Create a circle with point A as its center and a radius of the origin and point A, then locate a point on the circle that is 90° counterclockwise from point A. Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° clockwise from point A. Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° counterclockwise from point A. ​

Mathematics
2 answers:
Anastaziya [24]3 years ago
8 0

Answer:

last one

Step-by-step explanation:

You are swinging A(-1,-2) around the center which in this case is the origin. Keep in mind that points on a circle all have a equal distance from the origin.  We don't want the distance from the center to change.

We want the center of that circle to be the origin.

So the answer is the last one:

"Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° counterclockwise from point A. ​"

SOVA2 [1]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

We need to perform a 90° counterclockwise rotation of point A (−1, −2) around the origin.

In rotation, the point and its image are equidistant from the center of rotation.

We know that all the points on a circle are equidistant from the center.

Steps for 90° counterclockwise rotation of point A (−1, −2) around the origin are:

1. Create a circle with the origin as its center and a radius of the origin and point A.

2. Locate a point on the circle that is 90° counterclockwise from point A.

Therefore, the correct option is D.

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PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?
Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

<u><em>Explanation</em></u>

PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.

According to the graph, the coordinates of P is (-7, -2) and  Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: (\frac{x+2}{2},\frac{y+4}{2}) , which is actually at (-7, -2)

Thus.....

\frac{x+2}{2}=-7\\ \\ x+2=-14\\ \\ x= -16\\ \\ and\\ \\ \frac{y+4}{2}= -2\\ \\ y+4= -4\\ \\ y= -8

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)

6 0
2 years ago
emma will roll two number cubes labeled 1 through 6. She will record the sum of the two numbers after each roll. She will roll t
SashulF [63]

Answer:

75 times

Step-by-step explanation:

First of all let's ook at the 36 possible outcomes and their sums.

2=1,1

3=1,2 2,1

4=1,3 ; 2,2 ; 3,1

5=1,4 ; 2,3 ; 3,2 ; 4,1

6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1

7=1,6 ; 2,5 ; 3,4 ; 4,3 ; 5,2 ; 6,1

8=2,6 ; 3,5 ; 4,4 ; 5,3 ; 6,2

9=3,6 ; 4,5 ; 5,4 ; 6,3

10=4,6 ; 5,5 ; 6,4

11=5,6 ; 6,5

12=6,6

Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.

Thus, probability of getting a sum equal to 5 is;

P(5) = 5/36

Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;

(5/36) x 540 = 75 times

4 0
3 years ago
Help I'll give brainliest!!!
natka813 [3]

Answer:

It’s (-3, -4)

Step-by-step

I did this program too.

6 0
3 years ago
7. If 1 || m and n || q, identify any of the following<br> angles congruent to 6
s344n2d4d5 [400]

The angle congruent to ∠6 are ∠8, ∠3, ∠9 and ∠14

<h3>How to find congruent angles?</h3>

When parallel lines are cut by a transversal, angle relationships are formed. They include corresponding , alternate and many more.

L║m

n ║ q

Therefore, the angles congruent to ∠6 by alternate or corresponding relationship are as follows:

∠6≅∠8≅∠3≅∠9≅∠14

learn more on angles here: brainly.com/question/15443897

#SPJ1

7 0
2 years ago
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r
aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0
3 years ago
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