Consider the complete question is "The equation of the line
is y=5x+1 and the equation of line
is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of
is
.
Equation of
is
.
To show:
The these line as parallel.
Solution:
We have,
...(i)
...(ii)
Equation (ii) can be written as



...(iii)
Slope intercept form of a line is
...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line
.
On comparing (iii) with (iv), we get slope of line
.
Since,
, therefore, lines
and
and parallel because slope of two parallel lines are always equal.
Hence proved.
Answer: 14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
Answer:
1. I am not sure about the first one. I tried everything and nothing I got from any of my work is looking right.
2. AB = 5
3. 8

Step-by-step explanation:
