Answer:
Yes the graphs of the lines are in pair parallel.
Step-by-step explanation:
They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...
The first thing to do is subtract 5x since its a positive so it would look like this:
5x+2y=6
<u> -5x =-5x</u>
Next you would divide by 2 on each side so the y can be isolated:
5x+2y=6
<u>-5x =-5x</u>
<u>2y</u> = <u>-5x + 6</u>
2 2
Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:
y= -2.5x+3
So your parallel slope would be -2.5x.
Answer:
units
Step-by-step explanation:
If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.
We know the formula of length of perpendicular from a point
to the straight line ax + by + c = 0 is given by

Therefore, in our case the perpendicular distance is
units. (Answer)
Answer:
Step-by-step explanation:
Answer:
- Walnuts - $1.25, chocolate chips - $3.25
Step-by-step explanation:
Let walnuts = x, chocolate chips = y
<u>Set a system and solve:</u>
<u>Double the first equation and subtract the second one from it:</u>
- 6x + 10y - 6x - 2y = 40 - 14
- 8y = 26
- y = 26/8
- y = 3.25
<u>Find the value of x:</u>
- 6x + 3.25*2 = 14
- 6x = 14 - 6.5
- 6x = 7.5
- x = 7.5/6
- x = 1.25