Answer:
37.59 nautical miles
Explanation:
Distance = Speed x Time
The speed of the first ship = 12 knots
Thus, the distance covered after 1.5 hours
The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours
The diagram representing the ship's path is drawn and attached below:
The angle at port = 90 degrees.
The triangle is a right triangle.
Using Pythagorean Theorem:
![\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%20c%5E2%3D18%5E2%2B33%5E2%20%5C%5C%20c%5E2%3D324%2B1089%20%5C%5C%20c%5E2%3D1413%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B1413%7D%20%5C%5C%20c%3D37.59%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The two ships are 37.59 nautical miles apart after 1.5 hours.
Answer: -0.7
Step-by-step explanation:
Answer:
y-5=-2/3(x-(-7))
Step-by-step explanation:
I just learned this recently as well so bare with me.
So the point slope form is y-y1=m(x-x1)
So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4
So now, we just have to plug in the numbers.
So y-5=-2/3(x-(-7)).
I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.
I hope this helped.
Answer:
x=-1/3=10/3 y=-3x+10
Step-by-step explanation:
1. distribute
y+2=-3x+12
2. subtract 2
y=-3x+10
1.subtract 12
y-10=-3x
2. divide by -3
-1/3y+10/3=x
(2.806066) x (2.806066) x (2.806066) x (2.806066) = 61.99998 (rounded)
