Answer:
You can plug it into a graphing website or calculator to double check
Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
Answer:
2 1/4
Step-by-step explanation:
Divide 18 by 8 and you get 2 with a remainder of 2/8
2 2/8 simplifies to 2 1/4
<span>8x + 5 = 35
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Subtract 5 from each side
</span><span><span>8x + 5 - </span>5 </span>= <span>35 - 5
</span><span>8x </span>= <span>30
</span>-----------------------------
Divide each side by the number 8
8x ÷ 8 = 30 ÷ 8
x = 15/4 or 3.75 or 3 3/4