Please help me! Picture below!!
1 answer:
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Answer:
- check below for explanation.
explanation:
➢ Given coordinates:
- A( 1, 3 )
- B( 1, 6 )
- C( 4, 6 )
- D( 5, 2 )
➢ after a dilation with a scale factor of 1/2:
- A( 1, 3 ) ÷ 2 ☛ A'(0.5,1.5)
- B(1, 6 ) ÷ 2 ☛ B'(0.5, 3)
- C( 4, 6) ÷ 2 ☛ C'( 2, 3 )
- D( 5, 2) ÷ 2 ☛ D'( 2.5, 1)
➢ Plot the after dilation coordinates on the graph:
- check the image below:
Answer:
The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.
Step-by-step explanation:
Given equation:
To find the set of natural numbers that satisfies the above equation.
Solution:
In order to find the set of solutions for the equation, we will solve it for
We have:
Subtracting both sides by 8.
∴
Thus, we get only one solution for that satisfies the given equation but it is not a natural number. -3 is an integer.
Set of natural numbers {1,2,3,4,5,6........}
Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.