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Law Incorporation [45]
3 years ago
15

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

  • The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

<u>Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:</u>

  • 2 + 12 > x ⇒ x < 14
  • 2 + x > 12 ⇒ x > 10
  • x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

<u>Combined together we have:</u>

  • 10 < x < 14

The third side must be between 10cm and 14 cm

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Answer:

The vertex is (6, -4)

Step-by-step explanation:

f(x) =(х – 8)(х – 4)

First find the zeros

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The vertex is 1/2 way between the zeros

(8+4)/2 = 12/2 =6

To find the y value, substitute 6 into the function

f(6) = (6-8) (6-4)

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7 0
4 years ago
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Answer:

Deductive Reasoning

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So if Rover is a dog, and all dogs in the kennel are collies, then Rover is a collie, because he is a dog and inside the kennel (after we take the statement all dogs in the kennel are collies).

This type of reasoning follows the Deductive Reasoning pattern, if A = B, and B is C then A is also C.

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Step-by-step explanation:

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*View attached graph for ordered pairs*

Hope this helps!

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