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damaskus [11]
3 years ago
14

Solve.1.5 - 0.25(a + 4)= 3 + 3(0.05 - 0.5a)

Mathematics
2 answers:
alisha [4.7K]3 years ago
5 0
The answer should be 2.12 
Anika [276]3 years ago
4 0
Ok HI again but the answer should be -0.68 the steps are below!    Simplifying <span>5 + -0.25(a + 4) = 3 + 3(0.05 + -0.5a) Reorder the terms: 5 + -0.25(4 + a) = 3 + 3(0.05 + -0.5a) 5 + (4 * -0.25 + a * -0.25) = 3 + 3(0.05 + -0.5a) 5 + (-1 + -0.25a) = 3 + 3(0.05 + -0.5a) Combine like terms: 5 + -1 = 4 4 + -0.25a = 3 + 3(0.05 + -0.5a) 4 + -0.25a = 3 + (0.05 * 3 + -0.5a * 3) 4 + -0.25a = 3 + (0.15 + -1.5a) Combine like terms: 3 + 0.15 = 3.15 4 + -0.25a = 3.15 + -1.5a Solving 4 + -0.25a = 3.15 + -1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5a' to each side of the equation. 4 + -0.25a + 1.5a = 3.15 + -1.5a + 1.5a Combine like terms: -0.25a + 1.5a = 1.25a 4 + 1.25a = 3.15 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 4 + 1.25a = 3.15 + 0.0 4 + 1.25a = 3.15 Add '-4' to each side of the equation. 4 + -4 + 1.25a = 3.15 + -4 Combine like terms: 4 + -4 = 0 0 + 1.25a = 3.15 + -4 1.25a = 3.15 + -4 Combine like terms: 3.15 + -4 = -0.85 1.25a = -0.85 Divide each side by '1.25'. a = -0.68 Simplifying a = -0.68</span>
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Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por x^{2}+y^{2}-49 = 0.

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

(x-h)^{2}+(y-k)^{2} =r^{2} (1)

Donde:

h, k - Coordenadas del centro de la circunferencia, medidas en pulgadas.

r - Radio de la circunferencia, medido en pulgadas.

Si conocemos que h = 0\,in, k = 0\,in y r = 7\,in, entonces la ecuación estándar que representa a la circunferencia de la llanta es:

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Ahora, la ecuación general de la circunferencia centrada en el origen satisface la siguiente expresión:

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Entonces, la forma general de la circunferencia de la llanta está representada por la siguiente expresión:

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