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3 years ago

12

Explain how raising a quotient to a power is similar to raising a product to a power.

1 answer:

Tcecarenko [31]3 years ago

6 0

In your question where to explain how the raising a quotient to power is similar to raising a product to a power. Form me the best explanation to this statement is because the variable with a exponent of positive is equals to its exponent over its variable.

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Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra

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Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

Greg swam 16 kilometers with the current.

Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= $(x-3)\ kmph$

Speed of swimming with current= $(x+3)\ kmph$

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, $Time= \frac{Distance}{Speed}$

⇒ $\frac{4}{(x-3)} = \frac{16}{(x+3)}$

Multiplying both side by (x+3) and (x-3)

⇒ $4\times (x+3)= 16\times (x-3)$

Using distributive property of multiplication.

⇒ $4x+12= 16x-48$

Subtracting both side by 4x and adding by 48.

⇒ $60= 12x$

Dividing both side by 12

⇒ $x= \frac{60}{12} = 5\ kmph$

Hence, Greg can swim at the rate of 5kmph with no current.

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4 years ago