Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m =
=
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m =
=
= 2
Since slope of AB and CD are equal then lines are parallel
QUESTION 1
The given inequality is

We group like terms to get,

This implies that,
or
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We simplify the inequality to get,
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We can write this interval notation to get,
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QUESTION 2
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We group like terms to get,
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We split the absolute value sign to get,
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This implies that,
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We can write this interval notation to get,
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QUESTION 3
The given inequality is

We split the absolute value sign to obtain,
or 
This simplifies to
and 
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and 

We write this in interval form to get,
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QUESTION 4
The given inequality is

We split the absolute value sign to get,
or 
This simplifies to,
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This implies that,
or 
or 
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We write this in interval notation to get,

We will need a picture. If you don't have one then we could possibly tell you the wrong answer and I really don't want that to happen.
Answer:
The answer would be 1275 if they get paid for half the money on the 9th song
Step-by-step explanation:
Answer:
The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.