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kifflom [539]
3 years ago
9

Which equation represents a line which is perpendicular to the line 2x + y = -5?

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Step-by-step explanation:

Given expression;

   2x + y  = -5;

  The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

   2x + y  = -5

  Equation of a straight line is generally written as;

       y  = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

          2x + y  = -5

                 y  = -2x -5

 The slope of the perpendicular = \frac{1}{2}

So,

the new line;

            y  =  \frac{1}{2}x  -5

Any line with slope of  \frac{1}{2} will be perpendicular

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Answer: The correct option is C

Step-by-step explanation:

You begin a job with an annual salary of $32,900

Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.

This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as

Sn = [a(r^n - 1)] / r - 1

Where

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From the question,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

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The correct statement regarding the function y = \sqrt{x + 2} is given by:

A. it us a one-to-one function.

<h3>What is the missing information?</h3>

This problem is incomplete, but researching it on the internet, the function used is y = \sqrt{x + 2}.

<h3>Is it a function?</h3>

For y = \sqrt{x + 2}, each value of x is associated with only one value of y, that is, the graph has <u>no vertically aligned points</u>, hence it is a function.

<h3>Is the function one-to-one?</h3>

Each value of y is also associated with only one value of x, that is, the graph has <u>no horizontally aligned points</u>, hence it is a one-to-one function, and the correct statement is given by:

A. it us a one-to-one function.

More can be learned about functions at brainly.com/question/24808124

#SPJ1

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Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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