Measured in meters, the wavelength of red light is about 8*10^-7, and the wavelength of violet light is 4*10^-7. the wavelength of red light is how many times longer than the wavelength of violet light?

The wavelength of red light is 2 times longer than the wavelength of violet light.

Step-by-step explanation:

Let be "x" the number of times the wavelength of red ligth is longer than the wavelength of violet light.

Knowing that the wavelength (measured in meters) of red light is about and the wavelength (measured in meters) of violet light is , you have to:

Divide the wavelength of red light (measured in meters) by the wavelength of violet light (measured in meters).

Then:

Remember the Quotiend of powers property:

Then:

The wavelength of red light is 2 times longer than the wavelength of violet light.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w