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2 years ago

Determine of which lines, if any, are parallel or perpendicular. Explain.

Mathematics

1 answer:

nalin [4]2 years ago

8 0

Answer:

lines b and c are perpendicular

Step-by-step explanation:

Use slope

slope for parallel is the same

slope for perpendicular is negative reciprocal

line a slope- 1-3/-2-0 is -2/-2 or 1

line b slope- 1-4/4-6 is -3/-2 or 3/2

line c slope- 3-1/1-4 is 2/-3 or - 2/3

none are the same so none are parallel

- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular

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The axis of symmetry of g(x) is 2 units right side from the origin then the function is $\rm g(x) = (x - 2)^2 + k$ . Then the correct option is A.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function f(x) is $(x+3)^2 - 10$ .

The axis of symmetry of f(x) is left side by 3 units.

The axis of symmetry of g(x) is 5 units to the right of f(x).

Then the axis of symmetry of g(x) is 2 units right side from the origin.

Then the g(x) will be

$\rm g(x) = (x - 2)^2 + k$

Thus, the correct option is A.

More about the function link is given below.

brainly.com/question/14674614

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