Step-by-step explanation:
The wind has a speed of w and a direction α with the vertical. The x component of that speed is w sin α. The y component is -w cos α.
In order to stay on the north trajectory AB, the plane must have a horizontal speed of -w sin α. The plane's speed is v, so using Pythagorean theorem, the y component of the plane's speed is:
v² = (-w sin α)² + vᵧ²
v² = w² sin²α + vᵧ²
vᵧ = √(v² − w² sin²α)
The total vertical speed is therefore √(v² − w² sin²α) − w cos α.
If a is the length of AB, then the time is:
t = a / [√(v² − w² sin²α) − w cos α]
To rationalize the denominator, we multiply by the conjugate.
t = a / [√(v² − w² sin²α) − w cos α] × [√(v² − w² sin²α) + w cos α] / [√(v² − w² sin²α) + w cos α]
t = a [√(v² − w² sin²α) + w cos α] / (v² − w² sin²α − w² cos²α)
t = a [√(v² − w² sin²α) + w cos α] / (v² − w²)
the answer is 81x thank youuuuu lol
Answer
(3,-2)
Explanation step by step
<em>y</em><em>=</em><em> </em><em> </em><em>-</em><em>2</em><em>x</em><em>-</em><em>9</em>
<em> </em><em> </em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>(</em><em>-</em><em>6</em><em>,</em><em>1</em><em>)</em><em>-</em><em>9</em>
<em>=</em><em> </em><em>(</em><em>1</em><em>2</em><em>,</em><em>-</em><em>2</em><em>)</em><em>-</em><em>9</em>
<em>=</em><em>(</em><em>3</em><em>,</em><em>-</em><em>2</em><em>)</em>
Hey You!
Ten to the power of two = 100
So, when 42.6 is divided by 100, Sue should move the decimal 2 places to the left (before the 4).
42.6 ÷ 100 = 0.426