The magnitude of the resulting vector, u - v, is approximately 5.83
and its angle of direction is approximately 59.04°.
<h3>How to find the magnitude of the resulting vector?</h3>
We want to subtract vector v from vector u.
We are given;
v = <2, -3> = 2i - 3j
u = <5, 2> = 5i + 2j
u - v = 5i + 2j - (2i - 3j)
= 5i + 2j - 2i + 3j
= 3i + 5j
Resultant vector = √(3² + 5²)
Resultant vector = √34 ≈ 5.83
Angle of direction of resultant vector is;
tan θ = (5/3)
θ = tan⁻¹(5/3)
θ = 59.04°
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Answer:
cos ∅ = 15/17
Step-by-step explanation:
hypotenuse² = 15² +8² = 225 + 64 = 289
hypotenuse = √289 = 17
cos ∅ = 15/17 =
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y=1/4x+5
Comparing with the general equation above
Slope = 1/4
Since the lines are parallel their slope are also the same
Slope of parallel line = 1/4
So the equation of the line using point
(2,-9) and slope 1/4 is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
44
16
28
32
i think this is the answer
Answer: 19.20
Step-by-step explanation: What I did was figure out what 10% of 12 was (1.2) then multiplied it by 6 which was 7.2. Then I added that to 12 and got 19.2.
Let me know if this was helpful! :D