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Andrews [41]
3 years ago
7

Plz help me what the coordinate points for each

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

A. (-4, -3)

B. (5, 3)

C. (-1, 3)

Step-by-step explanation:

Ok, bear with me, its been a while since I have done this so make sure you double check.

A. So, we already know where point A is(1,-3) and we need that to find B

It says we need a reflection which is basically mirroring it across the y-axis(note: if it were across the x-axis then this would turn out much differently.)

Its hard to explain but i will tell you that reflecting point A will give us (-1, -3)

Now we need to translate it 3 units to the left

<u>(-4, -3)</u>

B. Ok, next we have point C which is a reflection using the x-axis (now you will see how important it is to make sure you are reflecting in the right place.) Over the x-axis, will give us (1, 3).

Now we need to translate to the right... (5, 3)

C. Point D... we need to rotate it. Now, rotating is a little bit more work than reflecting and translating but its not hard.

since we are rotating 180 degrees then we are basically just turning it around halfway from 360...

A is (1, -3) so D would be (-1, 3)

Hope this helps :)

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Step-by-step explanation:

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<h2>Answer:</h2>

(a)

The probability is :  1/2

(b)

The probability is :  1/2

<h2>Step-by-step explanation:</h2>

The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2)   (1,3)    (1,4)    (1,5)

(2,1)   (2,3)   (2,4)   (2,5)

(3,1)   (3,2)   (3,4)   (3,5)

(4,1)   (4,2)   (4,3)   (4,5)

(5,1)   (5,2)   (5,3)   (5,4)

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(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

We know that it could be calculated by using the formula:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is:  (4,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( since, the only outcome out of 20 outcomes is:  (3,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 8

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Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

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Answer:

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Step-by-step explanation:

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<h3>Opposite</h3>

The opposite of an integer value is obtained by changing its sign.

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<em>Additional comment</em>

Equivalently, you are multiplying by -1. The product of an even number of minus signs is a plus sign. We usually don't write the plus sign for a numerical value.

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