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skad [1K]
3 years ago
8

What os the slope of a line that is perpendicular to the line shown

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0
Perpendicular lines have slopes that are negative reciprocals.

so first you must find the slope of the line given
the slope formula is 

m=(y₂-y₁)/(x₂-x₁)

now you just plug in the coordinate points that you are given

m=(-2-2)/(0-(-3)
m=-4/3

so the slope of the line given is -4/3, the negative reciprocal of this would be 3/4

The slope of the perpendicular line would be 3/4

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Step by step explanation
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Step-by-step explanation:

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Aleks04 [339]

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

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x² - 18x + y² - 10y = - 6

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add ( half the coefficient of the x/ y terms )² to both sides

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4 0
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Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza
rusak2 [61]

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

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Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

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Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

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