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ad-work [718]
2 years ago
6

Make u the subject of formula in M=m(v-u).u​

Mathematics
1 answer:
Naily [24]2 years ago
8 0

Answer:

u = v - 1

Step-by-step explanation:

I'm guessing the formula you've given me is m = m(v - u), and I'm going to solve it that way. If it's actually different, let me know so I can redo the answer! :)

So, we have the equation m = m(v - u) and we're trying to make u the subject, or isolate it on one side of the equation. Right now, it's being subtracted from v and then multiplied by m. Let's start by dividing both sides of the equation by m so we can stop multiplying (v - u) by m.

m = m(v - u)

m/m = m(v-u)/m

1 = v - u

Now, our equation is pretty simple, but our u is still being subtracted from v, so we should add a u to both sides.

1 = v - u

1 + u = v - u + u

1 + u = v

Now, we're adding 1 to u, so let's go ahead and subtract 1 from both sides.

1 + u = v

1 - 1 + u = v - 1

u = v - 1

And we now we have u as the subject of our formula.

Hopefully that was helpful! :)

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2 years ago
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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inna [77]

Answer:

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Step-by-step explanation:

Check:

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Used PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

First Power, next Addition

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use a graphing calculator to graph the function

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