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
The ratio here is 16:436.
The easiest way to solve this is finding how many miles Jim can drive using just 1 gallon. We can do this by dividing both sides of the ratio by 16.
16÷16 is 1
436÷16 is 27.25
so our new ratio is 1 gallon:27.25 miles.
next we simply multiply both sides by 14.
1x14=14
27.25x14=381.5 miles :)
The conclusion is valid
it is a systematic random sample
and the second one is a line graph (I think)
answer: 4
Step-by-step explanation:
