a plane is located on radar by an air traffic controller. what are the magnitude and the direction angle of the vector from the airport to the plane?

C The magnitude is 7.94, and the direction angle is N 49.91° E.

magnitude formula: sqrt x^2+y^2

                                 sqrt 6^2+5.2^2

                                 7.94

direction angle: tan^-1(x/y)

                          tan^-1(6/5.2)

                          49.91                      (convert radians to degrees)

The magnitude is 11.2, and the direction angle is E 40.91° N.

Step-by-step explanation:

edge

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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step-by-step explanation: