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Trava [24]
3 years ago
13

Segment AB is on the line y − 3 = 2(x 2), and segment CD is on the line y − 3 = negative one half(x 2). Which statement proves t

he relationship of segments AB and CD? They are parallel because they have the same slope of 2. They are parallel because they have the same slope of negative one half. They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half. They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half

Step-by-step explanation:

i got it right on the test

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Step-by-step explanation:

divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

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Harlamova29_29 [7]

Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark

Because we ended up with a true statement, we have determined that the value of x is -29.

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