Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4
Answer:
and 
Step-by-step explanation:
The given ellipse has equation:
.
The center of this ellipse is (h,k)=(0,2)
We use the equation:
to determine the foci.
The directrices are given by 


and 
The equation of the directrices are:
and 
The correct answer is D
The velocity or speed of the kayaker going north at a speed of 3 m/s and that of the current going east at a speed of 2 m/s create a resultant speed of √13 m/s. The new distance that has to be traveled by the kayaker in order to move 100 m north is calculated through the equation,
3 / √13 = 100 / x
The value of x is 120 m. The total time it will take for the kayaker to reach the destination is,
t = 120 / √13 = 33.33 s
<u>Given</u>:
A map shows some cities in the northern United States. The scale of a map is 
The actual distance between Chicago, IL and Pittsburgh, PA is 375 miles.
We need to determine the distance between the two cities on the map.
<u>Distance between the two cities:</u>
The distance between the two cities on the map can be determined by dividing the actual distance by 125 miles.
Thus, we have;

Dividing the terms, we get;

Thus, the distance between the two cities on the map is 3 inch.