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Over [174]
2 years ago
10

(x - 6)^2 - 12 = x^2- 12x + c. What is the value of c?

Mathematics
1 answer:
mojhsa [17]2 years ago
4 0

Answer:

C = 24

Step-by-step explanation:

(x - 6)² - 12 = x² - 12x + c

(x - 6) (x - 6) -12 = x² - 12x + c

x(x - 6) - 6(x - 6) - 12 = x² - 12x + c

x² - 6x -6x + 36 - 12 = x² - 12x + c

x² - 12x +36 - 12 = x² - 12x + c

x² - 12x + 24 =   x² - 12x + c

             24 = c

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sergeinik [125]

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

<h3>¿Cómo determinar la medida de un lado de un triángulo desconocido?</h3>

En este problema tenemos un sistema formado por dos triángulos <em>similares</em>, la semejanza entre los dos triángulos se debe a la colinealidad entre los segmentos de línea AP' (triángulo <em>pequeño</em>) y AP'' (triángulo <em>grande</em>), así como de los lados AM y AB, así como los lados AN y AC, así como los <em>mismos</em> ángulos en la <em>misma</em> distribución. (Semejanza Lado - Ángulo - Lado)

En consecuencia, obtenemos las siguientes proporciones:

AP'/AP'' = MN/BC = 1/2     (1)

Finalmente, la proporción entre el triángulo AMN y el cuadrilátero BMNC es:

\frac{AMN}{ABC - AMN} = \frac{\frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)}{\frac{1}{2}\cdot (2\cdot a) \cdot  h - \frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)} = \frac{\frac{1}{4}\cdot a\cdot h }{a\cdot h - \frac{1}{4}\cdot a \cdot h }

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Para aprender sobre triángulos semejantes: brainly.com/question/21730013

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3 0
2 years ago
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15%

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3 - 2y +9

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