Answer:
Both the boats will closet together at 2:21:36 pm.
Step-by-step explanation:
Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).
Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),
Formula : d=v*t
at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)
the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)
Formula : D=
⇒ 
Now let 
∵ 
⇒ t= 450/1250
⇒ t= .36 hours
⇒ = 21 min 36 sec
Since F"(t)=0,
∴ This time gives us a minimum.
Thus, The two boats will closet together at 2:21:36 pm.
Answer:
x=85 , y=45
Step-by-step explanation:
If there is a line intersecting another line, the 2 angles being created must add up to 180. So, to find x, you basically just have to subtract 95 from 180, which is 85.
The angles of a triangle must add up to 180 as well. If we already know 2 of the angles, then we can find the other one by subtracting those numbers from 180. 180-85-50= 45.
Therefore x=85 and y=45.
You know i am learning the same thing but sorry i don't know the answer
Answer:
B
Step-by-step explanation:
The complete question in the attached figure
we know that
<span>the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates
</span>
in this problem
the point <span>(−1.5, 6)
the </span>absolute value of x-coordinates is 1.5
hence
the distance is 1.5
therefore
the answer isthe option B) the point (1.5,-3)