Are the following lines parallel, perpendicular, or neither? y=−43x−5 and y=34x−5

9514 1404 393

  as written: neither

  as fractions: perpendicular

Step-by-step explanation:

The x-coefficients of -43 and 34 are unrelated, so the lines are neither parallel nor perpendicular.

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If you intend the equations to be ...

  y = -4/3x -5

  y = 3/4x -5

then the x-coefficients are opposite reciprocals, and the lines are perpendicular.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).