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xenn [34]
3 years ago
8

Determine if the lines -2x + 3y = -1 and 6x + 4y = 4 are parallel, perpendicular or neither. Explain.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

Perpendicular

Step-by-step explanation:

-2x+3y=-1

6x+4y=4

----------------

3y=-1-(-2x)

3y=-1+2x

3y=2x-1

y=2/3x-1/3

-----------------

4y=4-6x

4y=-6x+4

y=-6/4x+4/4

y=-3/2x+1

--------------------

2/3 and -3/2 are negative reciprocals, therefore, they are perpendicular.

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Answer:

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Step-by-step explanation:

2 - 3 = -1

5 0
3 years ago
Michael has a set of 24 math problems to do for homework. Michael completed 1/4 of his homework in 3/4 of an hour. If he continu
gtnhenbr [62]

Given:

Total number of problems = 24

Michael completed \dfrac{1}{4} of his homework in \dfrac{3}{4} of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in \dfrac{3}{4} of an hour =\dfrac{1}{4}

Part of work done in an hour =\dfrac{4}{3}\times \dfrac{1}{4}

                                                =\dfrac{1}{3}

Therefore, he complete \dfrac{1}{3} of his homework in 1 hour. Hence, all options are incorrect.

3 0
3 years ago
Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8
Monica [59]

Answer:

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Step-by-step explanation:

 This is a joint variation problem:

              z varies directly as x and y

Interpreting this;

                z ∝ xy

 Therefore;

               z  = kxy

 z = 6, x = 2, y  = 6

   Now find k,

             6  = 2 x 6 x k

              6  = 12k

               k  = \frac{1}{2}

To find the value of z;

   x  = 3, y  = 8

              z  =  \frac{1}{2}  x 3 x 8  = 12

3 0
3 years ago
The ratio of adults to students on the field trip is 3 to 5. If there are 15 students on the field trip, how many adults are the
Kazeer [188]

Answer:

There are 9 adults

Step-by-step explanation:

3:5 = x:15

3/5 = x/15

3(15) = 5x

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x = 9 adults

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4 0
3 years ago
Binks needs to raise at least $3600. He was given $200 and plans to save $50 a week. Select all of the inequalities that represe
kherson [118]

Answer:

I'm pretty sure it is 50n+200 <u><</u> 3600

Step-by-step explanation:

Im to fully sure tho

5 0
3 years ago
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