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Kazeer [188]
3 years ago
12

Which algebraic rule describes the 180° counter-clockwise rotation about the origin?

Mathematics
2 answers:
Rudiy273 years ago
5 0

Answer:

(x,y)\Rightarrow (-x,-y)

Step-by-step explanation:

We are asked to write the algebraic rule that describes the 180° counter-clockwise rotation about the origin.

When we rotate a point 180 degrees about origin the coordinates of point changes their sign.

The point (x,y) after a rotation of 180 degrees about origin changes to (-x,-y).

The rule for this rotation is: (x,y)\Rightarrow (-x,-y)

Therefore, our required expression would be (x,y)\Rightarrow (-x,-y).

ira [324]3 years ago
4 0

The algebraic rule describes the 180° counter-clockwise rotation about the origin =======> Answer: Rule for 180 degrees Counter-Clockwise Rotation =======> ( X , Y ) =========> ( - X, - Y ) ====> Make X + Y Signs Opposite.



Rotations Counter-Clockwise:

Rotation of 90 degrees ========> Switch X + Y, Make Y Opposite.

Rotation of 270 degrees ======> ( X, Y ) ===> ( Y, - X ) ==> Switch X + Y, Make X Opposite.




Hope that helps!!!! : )

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Apply the distributive property to factor out the greatest common factor. 56+32
Scorpion4ik [409]

You can't because there is no other number that is 1. in () and 2. You need 3 or more number to actually "distribute" it

Hope that Helps! Please let me know if it didn't

7 0
4 years ago
A particle travels 24.6 km in 30 minutes. Find the
tatyana61 [14]

Answer:

See the solutions below

Step-by-step explanation:

Given data

Distance = 24.6km

in meters= 24.6*1000= 24600m

time= 30 minutes

in seconds= 30*60= 1800

int hours= 0.5 hour

speed of the particle in

(i) km/h= 24.6/0.5= 49.2 km/h

(ii) m/s.= 24600/ 1800= 13.66 m/s

8 0
3 years ago
Find the third side in simplest radical form:
andreyandreev [35.5K]
Where’s the form I don’t understand this question
8 0
3 years ago
A bag contains 10 marbles,7 of which are black and 3 are red.three marbles are drawn at one after the other.find the probability
S_A_V [24]
<h3>Answer:  17/24</h3>

==========================================================

Explanation:

We have these four cases or possible outcomes

  • Case 1) We select 0 black marbles and 3 red marbles.
  • Case 2) We select 1 black marble and 2 red marbles.
  • Case 3) We select 2 black marbles and 1 red marble.
  • Case 4) We select 3 black marbles and 0 red marbles.

Let's calculate the probability for case 4.

There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.

The probability of getting 3 black marbles in a row is

(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.

That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).

Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".

So that's why the answer is 17/24.

8 0
3 years ago
Need some assistance with the following problem.
Lisa [10]

Answer:

The provided statement \exists x(x^2-4=1) is true in the domain of real number.

Step-by-step explanation:

Consider the provided information.

Any equation or inequality with variables in it is a predicate in the domain of real numbers.

The provided statement is:

\exists x(x^2-4=1)

Here, we need to find the value of x for which the above statement is true.

Since the value of x can be any real number so we can select the value of x as √5

(√5)²-4=1

5-4=1

Which is true.

Thus, the provided statement \exists x(x^2-4=1) is true.

7 0
3 years ago
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