Remember that parallel lines have the same slope.
y=3/7x+11 (in slope intercept form already)
-3x+7y=13 (standard form)
Add 3x to both sides, giving you 7y=3x+13, divide by 7 on both sides, giving
y=3/7x+13/7
Since both equations' slopes' are the same, their graphs will be parallel.
Answer:
For not exact divisions: Writing the results as Quotient + Remainder over the Divisor.
For exact division: just the quotient.
Step-by-step explanation:
Hi there,
In both algorithms, for long and synthetic divisions we must write the result as an expression following that order:
When the Division leaves no Remainder, i.e. an exact, the Remainder is equal to zero, so
Check below for the algorithms for each division and the way of writing their expressions (results).
2(x + 2) + 2 = 2(x + 3) + 1
2x + 4 + 2 = 2x + 6 + 1
2x + 6 = 2x + 7 - NO SOLUTION
(subtract 2x from both sides, then 6 = 7 FALSE)
2x + 3(x + 5) = 5(x – 3)
2x + 3x + 15 = 5x - 15
5x + 15 = 5x - 15 - NO SOLUTION
4(x + 3) = x + 12
4x + 12 = x + 12 - ONE SOLUTION
4 – (2x + 5) = (–4x – 2)
4 - 2x - 5 = -4x - 2
-2x - 1 = -4x - 2 - ONE SOLUTION
5(x + 4) – x = 4(x + 5) – 1
5x + 20 - x = 4x + 20 - 1
4x + 20 = 4x + 19 - NO SOLUTION
So basically, he wants to make mixture where lemon=lime
it is 6 gallons so
40% of 6=0.4 times 60=2.4=lemon
60% of 6=0.6 times 60=3.6=lime
so to make them equal
3.6-2.4=1.2
he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime
1.2 gallons is the answer
Answer:
The circumference of the circle
Step-by-step explanation:
