Consider the line y = 5/2x.

Mathematics

1 answer:

Trava [24]2 years ago

3 0

Answer:

Perpendicular: -2/5

Parallel: 5/2

Step-by-step explanation:

The slope-intercept formula is y=mx+b, where mx is the slope.

So in the equation y = 5/2x, 5/2 is understood as the slope.

To find a perpendicular slope you have to do the opposite (sign), reciprocal (flip denominator and numerator) of the original number.

Therefore 5/2 become negative, and then the numerator and denominator switch sides. (-2/5)

Parallel slope is the exact same as the original one so nothing changes. (5/2)

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Simplifying exponents (picture provided)

Hitman42 [59]

Answer:

3^2 ; Option B

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

$3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}$