Line a is represented by the equation y=−2x+3 . how do these equations compare to line a? drag and drop the equations into the boxes to complete the table. parallel to line a perpendicular to line a neither parallel nor perpendicular to line a y=2x−1y=−2x+5y=12x+7

y=2x−1 is neither parallel nor perpendicular to line a; y=−2x+5 is parallel to line a; y=1/2x+7 is perpendicular to line a.

Step-by-step explanation:

Line a is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.  The slope of line a, the number in place of m, is -2.

Any line parallel to line a will have the same slope as line a, -2.  The only line with this slope is y=-2x+5.

Any line perpendicular to this line will have a slope that is the negative reciprocal (this means the opposite sign and flipped upside down).  This means that the slope of any line that is perpendicular to line a will have a slope of 1/2.  The only line that has a slope of 1/2 is y=1/2x+7.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!