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Anastasy [175]
3 years ago
15

If the sides of a triangle have the following lengths, AB = 2x + 5, BC = 3x-2 and AC = 4x - 8, find all the possible values of x

.
Mathematics
1 answer:
katovenus [111]3 years ago
5 0

9514 1404 393

Answer:

  x > 3

Step-by-step explanation:

The triangle inequality requires ...

<u>AB +BC > AC</u>

  (2x +5) +(3x -2) > (4x -8)

  5x +3 > 4x -8

  x > -11

<u>BC +AC > AB</u>

  (3x -2) +(4x -8) > (2x +5)

  7x -10 > 2x +5

  5x > 15

  x > 3

<u>AC +AB > BC</u>

  (4x -8) +(2x +5) > (3x -2)

  6x -3 > 3x -2

  3x > 1

  x > 1/3

The most restrictive of these conditions on x is ...

  x > 3 . . . . all possible values of x

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Answer:

so 5 miles upstream and 15 miles downstream

Step-by-step explanation:

25/5=5

30/2=15

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A photograph negative measures 1 7/8 inches by 2 1/2 inches. The printed pictures is to have its longer dimension be 4 inches. H
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6 0
3 years ago
A river discharges 4 × 106 cubic feet of water into the Pacific Ocean each second. There are 86,400 seconds in one day. To find
erik [133]

Answer:

3.456E + 14= 3.456X10^{14

Step-by-step explanation:

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Since this differs from what you have, I will explain the scientific notation.

3.456E + 14 simply means 3.456X10^{14

The options are not well laid out but you can pick the appropriate option.

8 0
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Answer:

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Step-by-step explanation:

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