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cricket20 [7]
3 years ago
7

A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin

180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units
Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points X(x_1,y_1)\ and\ Y(x_2,y_2) is:

|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Hence:

|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5

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Step-by-step explanation:

-20 - 8 = -28

4 0
3 years ago
Solve For X <br> A 3 <br> B 30<br> C 60<br> D 90
Anarel [89]

Answer:

sln

10x+10x+30+90=180

20x+120=180

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8 0
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R560 invested at 8% p.a. simple interest for 3 years​
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Answer:

R 694.4

Explanation:

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4 0
2 years ago
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Answer all questions, your combing like terms. Show ALL of you work! Thank you!!
Elanso [62]

Answer:

1. -12x - 9y - 6

2. -12x + 36

3. -240

4. -2

5. x = -57

6. x = -6

7. x = 48

8. x = 20

9. x = -288

10. n = 8

Step-by-step explanation:

1.

-5x - 13 + 3y - 7x - 12y + 7

-12x - 13 + 3y - 12y +  7

-12x - 6 + 3y - 12y

-12x - 6 - 9y

-12x - 9y - 6

2.

-3(4x - 12)

-3(4x) + (-3)(-12)

-12x + 36

3.

6x - 282

6(7) - 282

42 - 282

-240

4.

6x + 2(y + x)

6(-2) + 2(7 + (-2))

-12 + 2(7 - 2)

-12 + 2(5)

-12 + 10

-2

5.

x - 23 = -80

 + 23    +23

x = -57  

6.

12x = -72

/12     /12

x = -6

7.

x/4 = 12

* 4    * 4

x = 48

8.

3x + 12 = 72

    -  12  - 12

3x = 60

/3     /3

x = 20

9.

x/4 - 8 = -80

     + 8    + 8

x/4 = -72

* 4    * 4

x = -288

10.

-4(1 - 5n) - 8n = 92

-4 + (-4)(-5n) - 8n = 92

-4 + 20n - 8n = 92

-4 + 12n = 92

12n - 4 = 92

     + 4    + 4

12n = 96

/12     /12

n = 8

6 0
3 years ago
Part D Now that the power of is the same in both figures, you can just look at the first factors of each figure. So, how many ti
wariber [46]

Answer:

The first factor of the mass of an average grain of rock salt 120 is 40 times the first factor of the mass of an average grain of table salt 3.

Step-by-step explanation: Answer from edmentum Hope it helped!

5 0
2 years ago
Read 2 more answers
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