Find an equation of the line that bisects the acute angles formed by the lines with equations 2x+y-5=0 and 3x-2y+6=0

1 answer:

5 0

The solving for the first one should be like this

$2x+y-5/sqrt 2^2 1^2=2x+y-5/sqrt5$
And the next part $3x-2y+6/sqrt 3^2 -2^2=3x-2y+6/sqrt13$

After these manipulations just multiply them
$
(2sqrt13-3sqrt5)x+(sqrt13+2sqrt5) y-5sqrt13-6sqrt5=0 
$
And finally you need to square and simplify for the completed answer

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You have a part-time job. You work for 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 per week.

olga55 [171]

Answer:

8 dollars per hour

Step-by-step explanation:

You make 92 a week

20 of that is from your allowance

92-20 = 72

72 is from your part time job

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Take the amount of money earned and divide by the number of hours to determine the money earned per hour

72/9 = 8 dollars per hour

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3 years ago

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3.) A glass of water is being filled up slowly. It initially starts out with 4

maria [59]

Answer:

8 minutes

Step-by-step explanation:

The amount in the glass after m minutes can be described by ...

a = 4 + 3/2m

We want to find m when a=16, so ...

16 = 4 + 3/2m

12 = 3/2m . . . . . subtract 4

8 = m . . . . . . . . . multiply by 2/3

It will take 8 minutes to fill the glass.

4 0

2 years ago

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babymother [125]

Check the picture below, notice those three quadrilaterals.

the square, is really a rectangle and is also a rhombus, but with right-angles and equal sides.