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nikitadnepr [17]
3 years ago
12

1. The speed of a planet's moon in orbit is about 29500

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

  20,114 mi/h

Step-by-step explanation:

It can be convenient to remember that 1 mi/h = 22/15 ft/s. To convert the given number to the appropriate units, we can divide by this conversion factor:

  (29500 ft/s)/((22/15 ft/s)/(1 mi/h)) = (29500·15/22) mi/h = 20113 7/11 mi/h

  ≈ 20,114 mi/h

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Step-by-step explanation:

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Find the ratio in which the lines segment joining A(1,-5) & B(-4,5) is divided by the x-axis. Also find the corrdinates of t
ioda

Step-by-step explanation:

\large\underline{\sf{Solution-}}

<u>Given that </u>

A line segment AB having coordinates of A as (1, - 5) and coordinates of B as (- 4, 5).

Let assume that x - axis divides the line segment joining the points A (1, - 5) and B (- 4, 5) in the ratio k : 1 at C.

Let assume that coordinates of C be (x, 0).

We know,

Section formula :-

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the coordinate plane and R(x, y) be the point which divides PQ internally in the ratio m₁ : m₂. Then, the coordinates of R will be:

\sf\implies \boxed{\tt{ R = \bigg(\dfrac{m_{1}x_{2}+m_{2}x_{1}}{m_{1}+m_{2}}, \dfrac{m_{1}y_{2}+m_{2}y_{1}}{m_{1}+m_{2}}\bigg)}}

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On comparing y - coordinate on both sides, we get

\rm \longmapsto\:\dfrac{5k - 5}{k + 1}  = 0

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<u>Hence, </u>

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\rm \longmapsto\:x = \dfrac{ - 4k + 1}{k + 1}

On substituting the value of k, we get

\rm \longmapsto\:x = \dfrac{ - 4+ 1}{1 + 1}

\rm \longmapsto\:x  \: =  -  \: \dfrac{3}{2}

<u>Hence, </u>

The coordinates of point of intersection, C is

\rm\implies \:\boxed{\tt{ Coordinates \: of \: C = \bigg( - \dfrac{3}{2}, \: 0 \bigg) }}

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Answer:

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