Answer: If the plane descends at the rate of 0.2 km per minute and landed after 15 mins, that means the plane started at 3 km elevation when it started to descend (t=0). The table is then constructed using the intialn values.
First you have to multiply 65 by 7 you will get 455
Then you have to multiply 144.9 by 40 you will get 5,796
At last add the two values:
y=mx+b is our frame equation for a linear function.
b=the y intercept, or when the line crosses the y axis, whenever x=0, so in this chart it is (0,0), b=0
m= the slope, to find m you can either use the slope formula or plug in a point and solve for m
8=m(2) + 0
we don't need to put 0 in our final answer because it doesn't change anything
f(x)= 12/4x + 2
f(-1)= 12/4x(-1) + 2
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;
Solve - subtract 2 from both sides -