i need help with this one. The problem is indicate which of the following lines are parallel, perpendicular, or neither. Show your work and explain why you chose the answer that you did.
The equation is 3x + y = 5
x + y = 3
2007-08-13 08:16:35 · 7 answers · asked by Roger D 1 in Science & Mathematics ➔ Mathematics
You only gave one pair of lines. The answer for that pair is:
Neither.
If they were PARALLEL, the ratio of their x- and y- coefficients would have to be identical. It isn't.
If they were PERPENDICULAR, the second one would have to have to exhibit a multiple of (x/3 - y), or (x - 3y). (That's because the product of the SLOPES of perpendicular lines is -1.) It doesn't.
The only remaining possibility is "Neither."
QED
Live long and prosper.
2007-08-13 08:22:10 · answer #1 · answered by Dr Spock 6 · 0⤊ 0⤋
To test for the conditions, you must first find the slope of each equation.
3x + y = 5
y = -3x + 5
slope = -3
x + y = 3
y = -x + 3
slope = -1
The two lines are parallel if their slopes are the same. They are not.
The two lines are perpendicular if they are negative reciprocals of each other. (Simply, their product is -1.) The two slope's product is (-1)(-3) = +3, so they are not perpendicular either.
2007-08-13 08:27:20 · answer #2 · answered by Tony The Dad 3 · 0⤊ 0⤋
The lines 3x + y = 5 and x + y = 3 are neither parallel nor perpendicular
The rules are
Parallel
a1 x + b1 y = c1
a1 x + b1 y = c2
Perpendicular
a1 x + b1 y = c1
b1 x - a1 y = c2
2007-08-17 04:10:04 · answer #3 · answered by Anonymous · 0⤊ 0⤋
nicely it extremely is extraordinarily consumer-friendly, so perhaps you desire some help with the basics. once you have 2 expressions, one on the left area of an "=" and one on the right, you're loose to do the comparable operation of the two components of the "=" sign. this suggests you could upload, subtract, multiply, and so on the comparable fee of the two components of the "=", and the equality continues to be real. on your specific situation, the factor is to get to "n=" something at which factor you ought to have solved for n so... beginning from n/5 = 8 you could multiply the two components by way of 5 (n/5) x 5 = 8 x 5 on the left area, the two fives cancel one yet another out, on the right area 8x 5 = 40 so which you finally end up with n = 40 and you're completed. As you get into this somewhat farther, you will get extra complicated issues that require better than one step. as an occasion in case you have been presented with 3a + 4 = 22 then you definately ought to subract 3 from the two components: 3a + 4 - 4 = 22 - 4 or 3a = 18 Then divide the two components by way of 3 to get 3a/3 = 18 /3 the three's on the left cancel, and 18/3 = 6 leaving you with a = 6
2016-11-12 05:33:32 · answer #4 · answered by lauramore 4 · 0⤊ 0⤋
3x + y = 5
3x = 5 - y
x = (5 - y) / 3
y = 5 - 3x
2007-08-16 21:15:02 · answer #5 · answered by Jun Agruda 7 · 3⤊ 0⤋
solve both for y
y=-3x+5
y=-x+3
they are not parallel or perp
slopes are different
2007-08-13 08:22:55 · answer #6 · answered by Pawn 2 · 0⤊ 0⤋
neither
2007-08-13 08:22:54 · answer #7 · answered by santmann2002 7 · 0⤊ 0⤋