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Triss [41]
3 years ago
15

-4x2 + 2x - 5(1 + 3) What expression is equivalent to the given expression? or + x2 +

Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0

Answer:

  -4x^2 -3x -5

Step-by-step explanation:

If you eliminate parentheses and collect terms, you get ...

  -4x^2 +2x -5(1 +x)

  = -4x^2 +2x -5 -5x

  = -4x^2 +x(2 -5) -5

  = -4x^2 -3x -5

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Can the sides of a triangle be in the given ratio? 3:4:5
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Answer:

Yes

Step-by-step explanation:

In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:

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a + c > b

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Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.

With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:

a + b > c  ⇒  3x + 4x  >?  5x  ⇒  7x > 5x  ⇒  This is true

a + c > b  ⇒  3x + 5x  >?  4x  ⇒  8x > 4x  ⇒  This is also true

b + c > a  ⇒  4x + 5x  >?  3x  ⇒  9x > 3x  ⇒  This is true

Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.

<em>~ an aesthetics lover</em>

5 0
3 years ago
Read 2 more answers
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