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lozanna [386]
2 years ago
11

(02.06)

Mathematics
1 answer:
kari74 [83]2 years ago
6 0
The measurements of an angle X is 80
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Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

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3 years ago
Estimate how much 10.25 and 30.5
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Write 108 as a product of primes.<br> Use index notation when giving your answer.
VashaNatasha [74]

Answer:

2^2 * 3^3

Step-by-step explanation:

108 = 2*2*3*3*3

= 2^2 * 3^3.

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natka813 [3]

Answer:

<em>2(x) + 2(x + 3) = 90 </em>

Step-by-step explanation:

Width: x inch.

Length: (x + 3) inch.

P = 2 w^{} + 2 l^{}

P = <em>2(x) + 2(x + 3) = 90</em>

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3 years ago
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