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lana [24]
3 years ago
8

The equation of line k is y=

Mathematics
2 answers:
Sladkaya [172]3 years ago
4 0
The answer is option (C)
Nina [5.8K]3 years ago
3 0

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

I'm assuming you meant line k is y = 3x -2. If not, this is wrong.

For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.

-2r + 6v = 18

6v = 2r + 18

v = 2/6r + 18/6

v = 1/3r + 3

Now you can answer the question.

To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.

To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.

To be the same line, the equations must be absolutely identical, which they aren't.

This leaves the last option: neither.

Let me know if you need a more in-depth explanation of anything here! I'm happy to help!

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Carpect costs $16 a square foot. A rectangular floor is 16 feet long by 14 feet wide. How much would it cost to carpet the floor
DerKrebs [107]

Answer:

$3584

Step-by-step explanation:

- because its a rectangle, the area of the floor is length*width, so 16*14 = 224 square feet

- one square foot is $16, so 224 sqaure feet are 224*16

= 3584

8 0
3 years ago
Read 2 more answers
Use this picture to solve for X
Zepler [3.9K]

Answer:

x=2

Step-by-step explanation:

i would set up a system of equation using the pythagorean theorem:

1^2+x^2=z^2

4^2+x^2=y^2

Add up these equations to get:

17+2x^2=y^2+z^2

But notice that

y^2+z^2=5^2

So you can substitute

17+2x^2=25

2x^2=8

x^2=4

x=2

:)

8 0
2 years ago
The product of three consecutive integers is 210. What is their sum?
Tcecarenko [31]

Answer:

3 consecutive no.s are

5×6×7=210

sum of them is= 5+6+7

=18

So, I hope. it helps !!

6 0
2 years ago
75 pints of juice in 5 containers
weeeeeb [17]
75/5= 15 pints of juice per container
5 0
3 years ago
Vector u has a magnitude of 5sq rt 3 feet and is directed due west. Vector v has a magnitude
Vikki [24]

The magnitude and the direction angle for  the resultant vector are 10N and 120degrees respectively

The formula for calculating the resultant vector is expressed as:

R^2 = u^2 + v^2\\R =\sqrt{u^2+v^2}

Given the following distances:

u = -5√3 feet (west direction)

v = 5 feet

Substitute the given values into the formula above;

R=\sqrt{(5\sqrt{3} )^2+5^2} \\R=\sqrt{(25 \times 3)+25}\\R=\sqrt{75 + 25}\\R=\sqrt{100}\\R = 10 feet

The magnitude of the resultant vector is 10feet

Get the direction:

\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}\frac{5}{-5\sqrt{3} }\\\theta =tan^{-1}\frac{-1}{\sqrt{3} }\\\theta = -60^0

Since tan is negative in the second quadrant, hence;

\theta = 180 - 60\\\theta = 120^0

Hence the magnitude and the direction angle for  the resultant vector are 10N and 120degrees respectively.

Learn more here: brainly.com/question/5177683

7 0
3 years ago
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