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mylen [45]
3 years ago
14

Do the side lengths 4, 5, and 10 form a triangle? Select the correct answer and reasoning.

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

No, because 5 + 4 isn't greater than 10.

Step-by-step explanation:

Given

Side\ 1 = 4

Side\ 2 = 5

Side\ 3 = 10

Required

Do they form a triangle

To check if they form a triangle or not, we make use of trinagle inequality theorem which states that; for sides a, b and c

a + b > c

a + c > b

b + c > a

So for sides 4, 5 and 10, we have:

4 +  5 > 10 --- False

4 + 10 > 5

5 + 10 > 4

<em>Since the one of the inequalities is false, then the sides do not form a triangle.</em>

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When you add two rational numbers, each number can be written as a?
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8 0
3 years ago
Hosea borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. If he plans to pay the loan back in three y
Anit [1.1K]

Answer:

a. Interest amount is $3,000.

b. Total cost is $23,000.

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a. How much interest will he pay

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7 0
3 years ago
Pls pls pls helppp<br> ------------------
aliina [53]

Answer:

\fbox {x-intercepts : (1, 0) and (-3, 0)}

\fbox {Roots : x = 1, x = -3}

Step-by-step explanation:

<u>Given</u> :

  • y = 4x² + 8x - 12

4 cancels throughout.

  • <u>y = x² + 2x - 4</u>

<u>Solving by quadratic formula</u> :

  • x =  -8 ± √(8)² - 4(4)(-12) / 8
  • x = -8 ± √64 + 192 / 8
  • x = -8 ± √256 / 8
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∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.

7 0
2 years ago
Read 2 more answers
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