Answer:
D
Step-by-step explanation:
the 2 square root terms can be combined under one large square root.
and the general multiplication factor of 2 remains on the outside.
2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =
2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)
Answer:
The flight was 137.45 miles farther than the direct path.
(make slight changes if directions were given on how to round. This is to the nearest hundredth)
Step-by-step explanation:
Use the Law of Cosines.
c^2=
a^2+b^2-2abcosC
You know two sides and the angle in between. The Law of Cosines will give us the third side.
The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.
Then subtract the smaller number (direct route) from the actual route. See image.
Answer:
Option C is the answer.
Step-by-step explanation:
To find the equation of the straight line equation i.e, we must be given with the two points
and 
Since from the graph the two points closest to the line are
and 
Equation of line with two points closest to the line :

where m is the slope.
First we find the slope(m)=

on simplify we get,
.
Now, to find the equation of the line: 

Apply distributive property on right hand side, we get
Adding both sides by 36, we get

.
The equation for the linear model in the scatter plot obtained by the two closest point
closest to the line is,
