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3 years ago

Find all possible values of x if these represent side of a triangle 2x,5-x,4

Mathematics

1 answer:

3241004551 [841]3 years ago

7 0

Answer:

-1/3 < x < 3 or x = (-1/3, 3)

Step-by-step explanation:

Given sides of a triangle:

2x, 5 - x, 4

Triangle inequality theorem:

Any side is smaller than the some of the other two.

Apply to the given triangle:

2x + 5 - x > 4 ⇒ x > -1
2x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/3
5 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3

Combine all the inequalities:

-1/3 < x < 3
x = (-1/3, 3)

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Step-by-step explanation:

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3 years ago

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Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

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3 years ago

8x + y = 17 5x + 5y = –20

Diano4ka-milaya [45]

Answer:

X=3 Y=-7

Step-by-step explanation:

You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x

Then substitute y in the bottom equation for the y solved in the top. So,

5x + 5(17-8x) = -20

Then solve for x

x=3

Now that we know x, plug it back into the equation for y

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y = -7

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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Therefore, Sam can put 54 boxes.

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3 years ago