Answer:
The vector joining the ship to the rock is t= 7 i + 5 j
The direction is 0.9505 radians east of north.
Step-by-step explanation:
The position vector of the ship:
r= 1 i + 0 j
The position vector of the ship:
s= 6 i + 5 j
The vector joining the ship to the rock is:
t = r + s
t = (1 i + 0 j) + (6 i + 5 j)
t = 7 i + 5 j
The bearing of the rock to the ship is:
Θ= = 0.9505 radians
Answer:
Part a)
Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance
Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.
Step-by-step explanation:
<u><em>The correct question is</em></u>
Elijah and Aubrey have summer jobs. Elijah deposits the same
amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.
a. Write an equation to represent Aubrey's bank balance any given week of the summer.
b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.
c. What do the parallel graphs mean in terms of the situation?
Part a)
Let
x ----> the number of weeks
y ----> represent bank's balance
we know that
<em>Elijah</em>
-----> equation A
<em>Aubrey</em>
we have the points
(3,398) and (6,773)
Find the slope m
Find the equation of the line in point slope form
we have
substitute
----> equation in point slope form
Convert to slope intercept form
----> Aubrey's bank balance
Part b)
Compare the equations
----> Elija's bank balance
----> Aubrey's bank balance
Remember that
If two lines are parallel, then their slopes are equal
In this problem the slopes are equal
therefore
The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance
Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.