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guajiro [1.7K]
3 years ago
12

△PQR is reflected to form​ ​ △P′Q′R′ ​. The vertices of ​ △PQR ​ are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of ​ △P′Q′R′

​ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) . Which reflection results in the transformation of ​ △PQR ​ ​​to​ ​ △P′Q′R′ ​​​? reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x
Mathematics
2 answers:
kozerog [31]3 years ago
8 0
The answer is y=-x.
Lyrx [107]3 years ago
7 0

Answer:

The △PQR is reflected across the y-axis and option 2 is correct.

Step-by-step explanation:

1. The reflection across the x-axis is defined as

(x,y)\rightarrow (x,-y)

2. The reflection across the y-axis is defined as

(x,y)\rightarrow (-x,y)

3. The reflection across the y=x is defined as

(x,y)\rightarrow (y,x)

4. The reflection across the y=-x  is defined as

(x,y)\rightarrow (-y,-x)

It is given that the vertices of ​ △PQR ​ are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of ​ △P′Q′R′ ​ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .

The relation between prerimage and image is defined as

(x,y)\rightarrow (-x,y)

Therefore the △PQR is reflected across the y-axis and option 2 is correct.

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Which rational number will result in a repeating decimal?
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Answer:

D. 158/6

Step-by-step explanation:

If you divide 158/6 you get 26.3333333333 which is a repeating decimal, and makes it a rational number.

5 0
2 years ago
(4x^5 + 3x^2 – x^4) +(6x^2 - 2x^5)
Monica [59]

Answer:

The simplified equation is as follows 2x^5 -x^4 + 9x^2

Step-by-step explanation:

Remove the parentheses around each equation and pair like exponents together

4x^5 - 2x^5 - x^4 + 3x^2 + 6x^2

Then combine the like terms

2x^5 - x^4 + 9x^2

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5 0
3 years ago
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You buy rice at $0.71 a pound. One batch of fried rice requires 3 pounds rice. How much does the rice for one batch cost? Round
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Answer:

To make one batch of fried rice you'd need to pay $2.13

Step-by-step explanation:


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2 years ago
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Find the midpoint between (4,-1) and (3,2)
zepelin [54]

Midpoint has form of,

M(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

We can insert the data,

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Which simplifies to,

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4 0
3 years ago
Solution q-2r=4<br> q+r=37
GenaCL600 [577]
Q-2r=4, therefore: q=4+2r.

Plug the value of q into q+r=37, so you get:

4+2r+r=37

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Therefore q=26.

Check if the answer is correct using second equation:

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So: q=26 and r=11.


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3 years ago
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