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3 years ago

Not parallel to y=6x+2

Mathematics

1 answer:

bija089 [108]3 years ago

3 0

Hello there! A line that is not parallel to the line given, y = 6x+2, would have a slope value other than 6.

This is because any lines with the same slope and different y-intercepts are parallel to each other, so for them to be not parallel, the slopes would have to be different.

Hope this helps, and have a great day! :)

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ohaa [14]

Answer:

See the proof.

Step-by-step explanation:

Statement   Reason

1.∠1 and ∠2 are supplementary angles --- Given

2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary

3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180

(Supplementary angles add upto 180 degrees)

4. m∠1 and m∠3 ------ Exterior sides in opposite rays

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Thank you.

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3 years ago

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Answ

Step-by-step explanation:

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3 years ago

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

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So equation is

$2x+3y-z =5$

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$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

i.e. same point given.

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madreJ [45]

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4 years ago

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