The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is = –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>
<u>Point-slope formula:</u>
Substitute the given values in the formula, we get
Subtract 3 from both sides of the equation.
Hence the equation of the parallel line is y = –2x – 11.
Answer:
The speed of boat in still water is 11 miles per hour
The speed of current is 10 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by boat in downstream = = 147 miles
The time taken by boat in downstream trip = = 7 hours
The distance cover by boat in upstream = = 147 miles
The time taken by boat in upstream trip = = 147 hours
Let The speed of boat in still water = = x mph
And The speed of the current = = y mph
Now, According to question
Speed =
For downstream
+
=
or, x + y =
I.e x + y = 21 mph ..........1
For upstream
+
=
or, x - y =
I.e x - y = 1 mph ..........2
Now, Solving Eq 1 and 2
I.e (x + y) + (x - y) = 21 + 1
Or, (x + x) + (y - y) = 22
Or, 2 x = 22
∴ x =
I.e x = 11 mph
So, speed of boat = x = 11 miles per hour
Again, put The value of x in Eq 2
So, x - y = 1 mph
I.e 11 - y = 1
∴, y = 11 - 1
I.e y = 10 mph
So, speed of current = y = 10 miles per hour
Hence The speed of boat in still water is 11 miles per hour , and The speed of current is 10 miles per hour . Answer