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ziro4ka [17]
3 years ago
6

What is a simple way to rotate a shapes or points

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

When rotating points and shapes on a coordinate plane, you can use these simple methods:

90 degree rotation clockwise: convert (x, y) to (y, -x).

Example: (2, -4) --> (4, 2)

180 degree rotation clockwise: convert (x, y) to (-x, -y).

Example: (2, 4) --> (-2, -4).

270 degree rotation clockwise: convert (x, y) to (-y, x).

Example: (4, 2) --> (-2, 4)

360 degree rotation: This changes nothing. This basically means that the figure spins in a full circle only to return to its previous position.

Notes:

-Don't be spooked whenever you see a question that says to rotate an object 90 degrees counterclockwise. This is the exact same thing as a 270 degree rotation clockwise.

Example: (4, 2) rotated 270 degrees clockwise = (2, -4). (4, 2) rotated 90 degrees counterclockwise = (2, -4).

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Solve the system of linear equations by substitution.
SVEN [57.7K]

Answer:

Answer:

x= 29/11 or y= 25/11

Step-by-step explanation:

2x - y= 3 ...........equation 1

x + 5y= 14 ............equation 2

Make x the subject of the formula in equation 2

x= 14 - 5y ..............equation 3

Substitute x=14 - 5y in equation 1

2(14- 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y= -25

divide both sides by coefficient of y

-11y/-11 = -25/-11

y= 25/11

Substitute y= 25/11 in equation 3

x=14 - 5(25/11)

x= 14 - 125/11

x= 29/11

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Lines that appear tangent are tangent. What is the value of x?
mash [69]

Answer:

x = 68°

Step-by-step explanation:

4 0
3 years ago
-1/2=3/2k+3/2<br> explain how you got your answer
meriva

-1/2=3/2k+3/2


Rewrite the equation to have k on left side


3/2k+3/2=-1/2


Simplify 3/2k


3k/2+3/2=12


Move all terms not containing k to right side


3k/2=1/2-3/2


3k/2=-2


Multiply both sifmdes by 2


2(3k/2)=-2(2)


3k=-4


Divide both sides by 3 to get k alone


3k/3=-4/3


K= -4/3



5 0
3 years ago
What is the radius for the circle given by the equation? 
alisha [4.7K]

Use:

(a-b)^2=a^2-2ab+b^2\qquad(*)

x^2+y^2-6y-12=0\ \ \ \ |+12\\\\x^2+y^2-6y=12\\\\x^2+y^2-2y\cdot3=12\ \ \ \ |+3^2\\\\x^2+\underbrace{y^2-2\cdot y\cdot3+3^2}_{(*)}=12+3^2\\\\x^2+(y-3)^2=21\\\\\boxed{k=3}

7 0
3 years ago
An infinite series is represented by:
S_A_V [24]
The infinite numbers is represented by D.
5 0
3 years ago
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