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ioda
3 years ago
6

Which of the following possibilities will form a triangle?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0
The answer is c because if you add 2 sides and the two sides are greater than the third than the triangle is possible
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Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15
ehidna [41]

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Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

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(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

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Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

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8 0
3 years ago
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