Are the two lines parallel? Please show your work and explain how you know whether or not they are parallel: x + y = 1 and 3x +
1 answer:
You might be interested in
Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
========================================================
Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality is the same as
---------------------
Let's multiply both sides by 15 to clear out the fractions
---------------------
Now isolate the variable b
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.
Given that an object moves from the position +16 m to the position +47 m in 12 s. Now we need to find about what is its total displacement and what is its average velocity.
We know that displacement is the object's overall change in position.
So total displacement is given by:
Displacement = (+47) - (+16) = +31
Now velocity is given by ratio of displacement and time so final answer for velocity will be :
Which is approx 2.6 m/s.