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Romashka-Z-Leto [24]
2 years ago
9

1.

Mathematics
1 answer:
Anna11 [10]2 years ago
7 0

Answer:

y/x

Step-by-step explanation:

If x is proportional to y, then:

y = kx, where k is a constant

This can be rearranged to give:

k = y/x

As mentioned, k is a constant, therefore, the answer is y/x

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What is the slope of a line whose equation is 4x – 6y = 12?
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4x - 6y = 12
6y = 4x - 12
y = 4/6x - 12/6
y = 2/3x -2

Answer : Slope = 2/3
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Step-by-step explanation:

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Answer (e)

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3 years ago
A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ
wlad13 [49]

Answer:

The center of the circle is C(x,y) = (2, 3).

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y) (1)

Where:

C(x,y) - Center.

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If we know that R_{1} (x,y) = (-2,10) and R_{2} (x,y) = (6,-4), then the location of the center of the circle is:

C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)

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The center of the circle is C(x,y) = (2, 3).

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