Al's Awesome Autos advertised a special sale on
cars - Dealer cost plus 5%!! jack and Margaret bought a luxury sedan for
$23,727.90.what was the dealers cost? please answer! it's for an
important packet
If two lines intersect, then there are two possibilities
A) The lines intersect at exactly one point. This happens if the slopes of the two lines are different (the y intercepts may or may not be the same).
B) The lines intersect at infinitely many points. This happens when both slopes are the same and when both y intercepts are the same. In short, the two equations are identical. Often they may be written in different forms. For example, the equation y = 2x+1 and 2y = 4x+2 are the same equation. Divide everything in equation (2) by 2 and you'll get equation (1).
are parallel?
a) 2x + 5y = 6 and 5x + 2y = 10
b) 3x + 4y = 12 and 6x + 8y = 12
2x+ 5y=6 and -2x + 5y = 14
d) 3x + 4y= 12 and 6x - 8y = 20
go to station 9
go to station 7
go to station 4
go to station 8
Answer:
b) 3x + 4y = 12 and 6x + 8y = 12
Step-by-step explanation:
they share the same slope
In this question, we are asked to determine which two lines are parallel. By finding the slopes of the given lines, we can determine if they are parallel or not.
In order for two lines to be parallel, they must have the same slope. To determine the slope of a line, we can rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope. Let's find the slopes of the given lines:
a) 2x + 5y = 6 --> 5y = -2x + 6 --> y = (-2/5)x + 6/5 --> slope = -2/5
b) 3x + 4y = 12 --> 4y = -3x + 12 --> y = (-3/4)x + 3 --> slope = -3/4
c) 2x + 5y = 6 and -2x + 5y = 14 both have the same slope of -2/5, so these lines are parallel.
d) 3x + 4y = 12 and 6x - 8y = 20 do not have the same slope, so these lines are not parallel.
#SPJ2