Using just yes or no, can you make more than one triangle when you are given 3 different line segments?

Mathematics

1 answer:

iogann1982 [59]3 years ago

5 0

Answer:

Step-by-step explanation:

A triangle is made up of three line segments therefore, it would be impossible to make multiple triangles with only 3 line segments. You could stretch the line segments but they would never make other triangles since each attempt would be missing one line segment. What can be done with these 3 line segments is making more than one type of triangle. For example, we can make acute triangles, an obtuse triangle, right triangles, etc.

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Find a third-degree polynomial equation with rational coefficients that has the roots 2 and -3 + i.

NeTakaya

Answer:

Option B

Step-by-step explanation:

Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).

So in factor form we have:-

(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-

(x - (-3 + i))(x - (-3 - i))

= (x + 3 - i)(x + 3 + i)

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Now multiplying by (x - 2):-

(x - 2)(x^2 + 6x + 10) = 0

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Option B

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Answer:

x = 5.75

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)