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Sedaia [141]
3 years ago
11

State if each set of three numbers can be the lengths of a triangle. 6 cm, 2 cm, 3 cm.

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

This set cannot be the sides of a triangle

Step-by-step explanation:

In order to have a triangle, the sum or 2 given sides must be greater than the third, or the endpoints cant meet. In this case, 2+3 = 5, which is less than 6. Therefore, this is not a triangle.

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What function is the inverse of the exponential function y = (1.5)x?
vagabundo [1.1K]

Correct question is;

What function is the inverse of the exponential function y = 1.5^(x)?

Answer:

y = log_1.5_x

Step-by-step explanation:

The inverse of exponential functions is usually written in form of logarithm.

For example inverse of y = p^(x) will be written as; y = log_p_(x)

Similarly applying this same pattern to our exponential function y = 1.5^(x), we have the inverse as;

y = log_1.5_x

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Answer:

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Step-by-step explanation:

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Find a cubic function that has the roots 5 and 3-2i
Zolol [24]

Answer:

P(x)=x^3-11x^2+43x-65

Step-by-step explanation:

If the complex number 3-2i is a root of a cubic function, then the complex number 3+2i is a root too. Thus, the cubic function has three known roots 5,\ 3-2i,\ 3+2i and can be written as

P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.


4 0
3 years ago
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