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S_A_V [24]
2 years ago
8

How do I find the image after it’s been rotated 270 degrees about the point (-2,-1)?

Mathematics
1 answer:
White raven [17]2 years ago
7 0

Answer: (-1, 2)

Step-by-step explanation:

<u>It's a counter-clockwise rotation, that means (x, y) changes to (y, -x).</u>

(-2, -1) ⇒ (-1, -(-2)) ⇒ (-1, 2)

<u>If it's a clockwise rotation, then (x, y) will change to (-y, x)</u>

(-2, -1) ⇒ (-(-1), -2) ⇒ (1, -2)

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2.) If z varies inversely as r, and z= 24 when r = 6, find r when z= 12
Schach [20]

Step-by-step explanation:

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2 years ago
Consider the following theorem and proof.Theorem: The number âš2 is not rational number.Proof: Let's suppose âš2 is a rational n
ololo11 [35]

Answer:

The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

Step-by-step explanation:

We need to  show that the √2 is an irrational number.

And from the given steps of proof stated in the question, we need to find the assumption that justifies the fact : " Both of the number a and b cannot be even".

First take the given options :

Option a : √2 is a rational number

√2 being an rational or irrational has no relation of a and b to be even or odd. So, this option is rejected.

Option B : a/b is simplified lowest terms

This shows that a and b are not even because if a and b are even then a/b can be simplified in other lowest term.

Option c : √2 is a irrational number

Similarly, By using the inverse part of Option A, option c is also rejected.

Option d : The fact that b divides a evenly

This only shows that the a is even. This does not give any idea about b is even or not. So option D is also rejected.

Option E : The fact that a and b are whole numbers

This fact does not imply that the a and b are even or odd. So option E is also rejected.

Hence, The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

7 0
3 years ago
A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which h
Levart [38]

Answer:

a. 5.26

Step-by-step explanation:

As, the standard deviation of the distribution of the difference between mean is 0.76 so the t score will be simply calculated by dividing the difference of means by standard deviation of the distribution of the difference between mean as hypothesized difference is zero.

t score=Xbar A- Xbar B/Sd of difference of means

t score=55-51/0.76

t score=4/0.76=5.26

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2 years ago
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From the table, we observe that the domain of the function is {Mon, Tues, Wed, Thurs, Fri} and the range is {1, 2, 3, 4, 0}

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S(Tues) = 2

S(Wed) = 3

S(Thurs) = 4

S(Fri) = 0

Hence, S^{- 1}(0) = Friday

6 0
2 years ago
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the length of a rectangle is the width minus 3 units the area of the rectangle is 18 units what is the width in units of the rec
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Answer:

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