Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.
Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph
Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph
Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph
The ground speed of the plane is 201.3 mph (nearest tenth)
Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.
It's a simple linear equation in 'n'. There's only one number that 'n' can be
that will make the equation a true statement. That number is called the
'solution' to the equation. Here's one way to find it:
You said that <u> -7n - 4 = 24</u>
Add 4 to each side: -7n = 28
Multiply each side by -1 : 7n = -28
Divide each side by 7 : <em>n = -4</em>
Homework is the only way for most people to learn stuff.
I can help you if you still!!!
a) because the denominators are the same add the numerators:
1 1/5 + 3 2/5 = 4 3/5
b) rewrite the fractions to have a common denominator:
1/2 = 3/6
1/3 = 2/6
Now subtract:
4 3/6 - 1 2/6 = 3 1/6
