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Naddik [55]
2 years ago
10

Find the constant of proportionality k in the equation y = 24x

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
6 0

Answer:

The value of k is 24

Step-by-step explanation:

y = 24x

The equation for a direct variation is

y = kx

The constant of proportionality is k

y = 24x

The value of k is 24

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<h3><u>Required</u><u> Answer</u><u>:</u><u>-</u></h3>

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{p}^{2}  +  {b}^{2}  =  {h}^{2}

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Plugging the values,

{9}^{2}  +  {11}^{2}  =  {h}^{2}

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h = 14.12(approx.)

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inysia [295]

Based on the calculations, the coordinates of the mid-point of BC are (1, 4).

<h3>How to determine coordinates of the mid-point of BC?</h3>

First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:

At the origin x₁ = 0, we have:

y = 2x + 1

y₁ = 2(0) + 1

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When x₂ = 2, we have:

y = 2x + 1

y₂ = 2(2) + 1

y₂ = 4 + 1

y₂ = 5.

In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

Midpoint = (x₁ + x₂)/2

Midpoint = (0 + 2)/2

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Midpoint = 1.

Midpoint on y-coordinate is given by:

Midpoint = (y₁ + y₂)/2

Midpoint = (3 + 5)/2

Midpoint = 8/2

Midpoint = 4.

Therefore, the coordinates of the mid-point of BC are (1, 4).

Read more on midpoint here: brainly.com/question/4078053

#SPJ1

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