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Travka [436]
4 years ago
11

Los puntos A (5, 3) y B (-3, -3) representan los extremos de un trozo de madera que será usado por un carpintero para elaborar u

n mueble, al cual se le agregará una muesca en la tercera parte de su longitud (r = 1/3), tomando como referencia el punto A calcula la coordenada exacta donde ubicará esa muesca, mostrando tus operaciones y selecciona la opción correcta. A) (1.5,3) b) (0.75,3) c) (3,0.75) d) (3,1.5)
Mathematics
1 answer:
neonofarm [45]4 years ago
4 0

Answer:

Las coordenadas del punto son P(2.\overline 3, 1)

Step-by-step explanation:

Las coordenadas de los extremos de la pieza de madera son A (5, 3) y B (-3, -3)

El punto, P, en el que se agregará la muesca = 1/3 de la longitud de AB

Por tanto, las coordenadas del punto, tomando A como punto de referencia, se dan como sigue;

P (5 + (-3 - 5) × 1/3, 3 + (-3 - 3) × 1/3) = P(2.\overline 3, 1)

Las coordenadas del punto son P(2.\overline 3, 1).

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3 years ago
8 is what percent of 400?
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8 = x% * 400

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2 percent<span> of 400 is 8.</span>
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3 years ago
Which of the following represents the polar equation r = (cot 2θ)(csc θ) as a rectangular equation?
STALIN [3.7K]

The option that depicts the polar equation r = (cot 2θ)(csc θ) as an equation that is rectangular is: y² = 2x.

<h3>What is a polar equation?</h3>

A polar expression is any equation that describes the correlation between r and θ, where r signifies the anticlockwise angle formed by a point on a curve, the pole, and the positive x-axis, and means the breadth between the origin and a location on a curve.

<h3>What is the solution to the equation above?</h3>

Step 1 - expand the polar equation

r = 2cosθ * cscθ

Step 2  - convert csc and cos to their equivalents in tan and sin

r = 2 * (1/tanθ) * (1/sinθ) * sinθ

r = 2 * (1/tanθ) * sinθ/sinθ

r = 2 * 1/tanθ

r = 2/tanθ, making 2 the subject of the formula, we have

rtanθ = 2



Note that rectangular coordinates of a point will be depicted as (x,y) and it's plolar coordinate will be (r, θ).

This mean

x = r cos θ; and

y = r sinθ

From the above, we can state that:

Since y = r sinθ
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⇒ (rsinθ/y) * tanθ = 2

Thus y * (y/x) = 2

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y²/x = 2

y² = 2x

Learn more about polar equation at:

brainly.com/question/9363127
#SPJ1

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