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
well u move all the variables to the left side, so 8x is already in the left but 7x isnt so you move 7x to the left side of the equal sign which makes 7x to -7x.
8x-2-7x=-9
you move the -2 to the right side of the equal sign which becomes +2.
8x-7x=-9+2
you do the math which 8x-7x=1x and -9+2=-7
so.... 1x=-7
and x=-7. Make sure to always combine like terms.
To make sure it is correct replace the x with the -7 and
8(-7)-2=-9+7(-7)
-56-2=-9-49
-58=-58
so x= -7
If you would like to know what is f(2), you can calculate this using the following steps:
f(0) = 2
f(n+1) = - 2 * f(n) + 3
f(1) = - 2 * f(0) + 3 = - 2 * 2 + 3 = - 4 + 3 = - 1
f(2) = - 2 * f(1) + 3 = - 2 * (-1) + 3 = 2 + 3 = 5
The correct result would be f(2) = 5.