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Ludmilka [50]
3 years ago
8

The point (x,y) is rotated 180 degrees counterclockwise about the origin. Write a rule to determine the coordinate of the image

(x, y). Explain how you found the rule.
Mathematics
2 answers:
ikadub [295]3 years ago
5 0
If a point (x , y) is rotated 180 degrees counter clockwise around the origin, you take the opposites of that point so it now becomes (-x , -y). I hope that helps!!
bazaltina [42]3 years ago
3 0

Answer:

  (x, y) ⇒ (-x, -y)

Step-by-step explanation:

There are a couple of ways you can go at this.

1) Rotation by 180° in either direction is the same as reflection across the origin. That reflection is identical to reflection across both the x- and y-axes, in either order, so negates both coordinates. The transformation rule is ...

  (x, y) ⇒ (-x, -y)

__

2) The rule for a general rotation by angle α is ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

For α = 180°, sin(α) = 0 and cos(α) = -1. This makes the rule for rotation by 180° be ...

  (x, y) ⇒ (-x, -y)

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yuradex [85]
A coin has one of two outcomes: heads or tails.
Each has an equal probability of occurring, meaning that they each have a 50% chance to occur. (They need to add up to 100% because they include all the outcomes, divide that into two equal parts and...)

This is what we call theoretical probability. It's a guess as to how probability <em>should</em> work. Like in the experiment, it's not always going to be 50-50.

What <em>actually happens</em> is called experimental probability. This may vary slightly from theoretical probability because you can't predict probability with complete certainty, you can only say what is <em>most likely to happen</em>.

We want to find the probability of getting heads in our experiment so we can compare it to the theoretical outcome. To do this, we need to compare the number of heads to the total number of outcomes.

We have 63 heads, and a total of 150 coin flips.
That makes the probability of getting a heads 63/150.
The hard part is getting this ratio into a percent.

You can try simply dividing, but you should be able to notice something here.
SInce the top and the bottom of our fraction are both divisible by 3, we can <em>simiplify</em>.
63 ÷ 3 = 21
150 ÷ 3 = 50
So we could say that 63/150 = 21/50.

A percent is basically a fraction out of 100.
Just like you can divide the parts of a ratio by the same number and it will stay the same, you can also multiply. To get the fraction out of 100, let's multiply by 2.
(since 50 × 2 = 100)

21 × 2 = 42
50 × 2 = 100
21/50 = 42/100 = 42%

Comparing our experimental probability to the theoretical one...it is 8% lower.
7 0
3 years ago
Read 2 more answers
ANSWER ASAP FOR QUIZ
aev [14]
You must try to remove one of the unknown variables from the system by multiplying one in a way that when adding (or subtracting) one to another “makes it disappear” and so whatever value you get can be substituted back in to get the other unknown!

7 0
3 years ago
How would the model and answer in the example problem change if Felicia lives 7··10mile from the soccer
sleet_krkn [62]
Okay w sI suede your would multiple them and get 70bhjbbb 70 would ok she the answer
7 0
3 years ago
The solution to f - (-4) = 12 is f = 8.<br><br><br> True False
amid [387]

Answer:

true

Step-by-step explanation:

as negative takeaway a negative is positive so 8-(-4)= 8+4=12

3 0
2 years ago
Read 2 more answers
What's 5and24/10 divided by 4?
Alchen [17]
First, convert 5 and 24/10 into a mixed fraction:

5 and 24/10 = 74/10

Now, divide 74/10 by 4:

74/10 ÷ 4 = 74/10 × 1/4
                
= 74/40
                = 37/20
                = 1 and 17/20

(Remember that dividing requires you to reciprocate 4)

Hope this helps!


5 0
3 years ago
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