Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15 ?

Mathematics

2 answers:

AysviL [449]3 years ago

8 0

Perpendicular means that it has a slope that is the reciprocal of the original, and parallel means that the slopes are the same.

m_a_m_a [10]3 years ago

8 0

Tip:

With these kinds of equations focus on the x and y values

Same exact values = parallel

x and y values are swapped = perpendicular

anything else = neither

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Solve the following for the specified variable Z=s/2(P+p); for P

lapo4ka [179]

Answer:

$\boxed{\sf P = \frac{2Z}{s} - p}$

Step-by-step explanation:

$\sf Solve \ for \ P: \\ \sf \implies Z = \frac{s}{2} (P + p) \\ \\ \sf Z = \frac{s}{2} (P + p) \ is \ equivalent \ to \ \frac{s}{2} (P + p) = Z: \\ \sf \implies \frac{s}{2} (P + p) = Z \\ \\ \sf Divide \ both \ sides \ by \ \frac{s}{2} : \\ \sf \implies P + p = \frac{2Z}{s} \\ \\ \sf Substrate \ p \ from \ both \ sides: \\ \sf \implies P = \frac{2Z}{s} - p$