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nikitadnepr [17]
1 year ago
7

Given the points A (-4,-2) and B (4, 10), find the

Mathematics
1 answer:
mafiozo [28]1 year ago
8 0

Answer:

  P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

<h3>Equation for P</h3>

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

  P = A +q(B -A) = (1 -q)A +qB

<h3>Application</h3>

For q = 3/4, the location of P is ...

  P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

  P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

  P = (2, 7)

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non-linear

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4. Elena va a una fiesta pero no sabe que ponerse, así que lanza un moneda y un dado al
taurus [48]

Answer:

  • <u>1/4</u>

Explanation:

Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.

Estas son las posibilidades dadas por la combinación moneda/dado

                                      Número de combinaciones

Moneda: prenda

    Cara: vestido                 1 de 2:          1/2

     Sello: falda                    1 de 2:          1/2

Dado: color

    Par: negro                      3 de 6:          3/6

    Impar: café                     3 de 6:         3/6

En total son 2 × 6 resultados: 12 (incluye resultados repetidos, no son todos diferentes entre sí)

¿Cuántas combinaciones tienen vestido y color negro?

  • P(Vestido∩negro) = ?

Es decir: moneda = cara y dado = par

  • Son 1 × 3 = 3.

Por tanto, la probabilidad de vestido negro es:

  • 3 de 12 = 3/12 = 1/4 ← respuesta

Hay otras formas de resolverlo. Por ejemplo;

Como los resultados de lanzar la moneda y el dado son independientes:

  • P(Vestido∩negro) = P(Vestido) × P(Negro)
  • P(Vestido) = 1/2
  • P(Negro) = 3/6 = 1/2
  • P(Vestido) × P(Negro) = 1/2 × 1/2 = 1/4 ← mismo resultado
8 0
3 years ago
Which values are solutions to the inequality -3x-4&lt;2?
Lesechka [4]

Step-by-step explanation:

-3x - 4 < 2

-3x < 2 + 4

-3x < 6

x < 6/ - 3

x < - 2

5 0
3 years ago
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