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Ugo [173]
2 years ago
10

Write the equation of the circle whose center is (-5, -8) with diameter 12

Mathematics
1 answer:
lora16 [44]2 years ago
3 0

Answer:

(x + 5)^2 + (y + 8)^2 = 6^2

Step-by-step explanation:

A circle formula: (x - h)^2 + (y - k)^2 = r^2

We are given diameter. To find the radius divide diameter by 2.

d = 12

12/2 = r = 6

H and K are given to be (-5 , -8)

(x - (-5))^2 + (y - (-8))^2 = 6^2

(x + 5)^2 + (y + 8)^2 = 6^2

I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.

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What is an equation of the line that passes through the points (0, 3) and (5,-3)?
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Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

b = 3 (Eq. 2)

5\cdot m + b = -3 (Eq. 3)

The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

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Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
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Answer:

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Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

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Answer:

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Step-by-step explanation:

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