Consider each equation. is it the equation of the line that is parallel or perpendicular to y=3x+2? select yes or no for a-c a) y=-1/3x - 8 yes or no? b) y=3x - 10 yes or no? c) y=2x + 4

The line which is parallel to the line is (y = 3x - 10) and the line which is perpendicular to the line   is   and can be determined by using the slope intercept form.

Given :

Equation -

First, find the slope of the line .

m = 3

Now, consider each equation to determine which line is parallel or perpendicular to the line (y = 3x + 2).

A).

The slope of the equation   is:

When the two lines are perpendicular to each other then their slopes are:

Therefore, the line is perpendicular to the line  .

B). y = 3x - 10

The slope of the equation  y = 3x - 10  is:

When the two lines are parallel to each other then their slopes are same. Therefore, the line (y = 3x - 10) is parallel to the line .

C). y = 2x + 4

The slope of the equation  (y = 2x + 4)  is:

Therefore, the line (y = 2x + 4) is neither parallel nor perpendicular to the line  .

For more information, refer to the link given below:

link

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slope

• The slopes of perpendicular lines are negative reciprocals of each other

A

y = - x - 8 has slope m = -

3 and - are negative reciprocals

This line is perpendicular to y = 3x + 2

B

y = 3x - 10 has slope m = 3

This line is parallel to y = 3x + 2

C

y = 2x + 4 has slope m = 2

This line is neither parallel nor perpendicular to y = 3x + 2

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

gmt is 4 hrs ahead of edt so just add four hours to 1: 14: 20 (minutes and seconds stay the same)

gmt is 5: 14: 20

hope this !

~just a girl in love with shawn mendes