The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.
So we have
y = 3x + 2
-3x + 1y = 2
Swapping and negating gets the perpendiculars; the constant is as yet undetermined.
1x + 3y = constant
Since we want to go through (0,2), we could have just written
x + 3y = 0 + 3(2) = 6
3y = -x + 6
y = (-1/3) x + 2
Third choice
Lets call s the number of scented candles sold, and u the number of unscented candles sold and write as an equation the info provided in the problem:
16s + 10u = 400
s + u = 28
that is, the first equation synthesize the fact that the amount of unscented candles times its quantity plus the amount of scented candles times its quantity equals $400
and the second equation synthesize the fact that the number of scented and unscented candles add up to 28
Now you just need to solve the system of two linear equations with two unknowns to get the specific value of the scented and unscented candles.
Answer: -5, -7, and -9
Step-by-step explanation:
checking the pattern they are subtracting by two by the next term, so subtracting 2 from -3 would be -5 and so on.
Answer: 7 is the distance in between the points
Step-by-step explanation: How you find the distance between points is pretty simple once you know how to do it!
So first take your X coordinate take the first one (8) and subtract it from the second one (4) 8-4=4 so now we have 4 put that aside for a moment,
Now take your Y coordinate subtract the first one (10) from the second one (7), 10-7=3
Finally add the 3 and 4 together you get 7 that is why 7 is the distance in between the points
If you need further help or instruction please let me know!
Answer:
I won't answer it, but always remember to always do the formula P = 2(a+b) units when solving something like this, if i helped subscribe to Amiredagoat Yt
Step-by-step explanation:
