Mathematics: Solve for a. 2z=4a/m +3

Solve for a. 2z=4a/m +3 - id2437399025, 628397

Ответ:

ketricduggerp2ciuc

01.02.2022

Mathematics

a = (2mz - 3m)/4

Step-by-step explanation:

2z = 4a/m +3

-3 -3

2z - 3 = 4a/m

×m ×m

(2z -3)m = 4a

÷4 ÷4

[(2z -3)m]/4 = a

a = (2mz - 3m)/4

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Ответ:

coolquezzie

23.10.2020

Mathematics

9 mph

Step-by-step explanation:

Speed of current = 6 mph

Distance to travel one way = 22.5 miles

Let speed of the ferry be mph

Total time taken for round trip is 9 hours

One way the ferry will be going with the current and in the other way the ferry will be going against the current so

$\dfrac{22.5}{x+6}+\dfrac{22.5}{x-6}=9\\\Rightarrow \dfrac{x-6+x+6}{x^2-36}=\dfrac{9}{22.5}\\\Rightarrow \dfrac{2x}{x^2-36}=0.4\\\Rightarrow \dfrac{2x}{x^2-36}-0.4=0\\\Rightarrow 2x-0.4x^2+14.4=0\\\Rightarrow 0.4x^2-2x-14.4=0\\\Rightarrow 4x^2-20x-144=0\\\Rightarrow x=\dfrac{-\left(-20\right)\pm \sqrt{\left(-20\right)^2-4\times 4\left(-144\right)}}{2\times 4}\\\Rightarrow x=9,-4$

So, the speed of the boat in still water needs to be 9 mph both ways.

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Solve for a. 2z=4a/m +3

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