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Dovator [93]
3 years ago
11

The point (3, 5) is reflected across the y-axis.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0
Well reflected for points one is (-5,-3) and number 2 is (-2,7)
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If U = {x: X € N, 1 < × < 15)
Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

5 0
3 years ago
Erica and Amy started biking in the opposite directions at the same time from the same place. Erica biked at a speed of 6 meters
ipn [44]
Since they are moving in opposite directions, this is the same as Amy staying still and Erica biking at 10 meters per second away from her.

To travel 1km = 1000m at 10 meters per second, you need 1000/10 = 100 seconds.
3 0
3 years ago
Please help! Question posted above ^
emmainna [20.7K]

Answer:

( x^2 - 6 )^2

Step-by-step explanation:

  • x^4 -12x^2 +36
  1. Find one factor
  2. Factor by grouping
  • (x^2 - 6x) (x^2 - 6x)

*solution* ( x^2 - 6 )^2

8 0
3 years ago
Find b: If a = 9 and c = 15<br> С<br> a<br> b
pogonyaev

Answer:

b=12

Step-by-step explanation:

a^2+b^2=c^2

(9×9) + b^2= 15×15

81+ b^2= 225

-81. -81

b^2=144

√. √

b= 12

3 0
3 years ago
Read 2 more answers
Solve for x. 3(x + 2) + 4(x - 5) = 10 x = 36/7 x = 24/7 x = 16/7 x = 9/7
IRISSAK [1]

3(x + 2) + 4(x - 5) = 10

Use the distributive property:

3x + 6 + 4x - 20 = 10

Combine like terms:

7x -14 = 10

Add 14 to both sides:

7x = 24

Divide both sides by 7:

x = 24/7

5 0
3 years ago
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