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NeX [460]
3 years ago
7

Across what line of reflection was the angle reflected in the coordinate plane below?

Mathematics
2 answers:
Vladimir [108]3 years ago
6 0
It was reflected across the y axis
aev [14]3 years ago
6 0

Answer:

Let us revise the reflection

If point (x , y) reflected across the x-axis, then its image is (x , -y)

If point (x , y) reflected across the y-axis, then its image is (-x , y)

If point (x , y) reflected across the line y = x, then its image is (y , x)

If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point A (-5 , 8) is reflected across the line y = x

∵ If point (x , y) reflected across the line y = x , then its image is (y , x)

∵ x = -5 and y = 8

- Switch x and y

∴ The image of point A is A' = (8 , -5)

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1. Let U the set of students of the university of Cambridge. Let the subsets of U:
Marysya12 [62]

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

6 0
3 years ago
A rectangular prism and its dimensions are shown in the diagram.
Sergeu [11.5K]

Answer:

148.2

Step-by-step explanation:

LA= PH

P= 8.2+8.2+3.2+3.2=22.8 in

H= 6.5 in

PH= 22.8(6.5)= 148.2 in

8 0
3 years ago
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Marysya12 [62]

Answer: x = 7

Step-by-step explanation:

4(2x-3) = 6x+2   <--distribute the 4

8x - 12 = 6x + 2   <---add 12 to both sides

8x = 6x + 14    <--- subrtract 6x from both sides

2x = 14    <--- divide by two

x = 7

6 0
3 years ago
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