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jeka94
3 years ago
7

Determine the equations of the straight lines

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

1). 6x - 14    2). y = 1x + 1       3). y = -4x + 22     4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1      4 - (-2) / 3-2         = 6

y = 6x + b           4 = 6(3) + b      4 = 18 + b        -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3)      = 1

y = 1x + b        2 = 1(1) + b     2 = 1 + b    1 = b

y = 1x + 1

3).  2 - 6 / 5 - 4      = -4

y = -4x + b      6 = -4(4) + b      6 = -16 + b       22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5      = -7/2

y = -7/2x + 51/2

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The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

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The area of a sector for a radius r and an angle θ is given as

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Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

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Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

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3 years ago
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Answer:

2.5 or 10/4

Step-by-step explanation:

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