Step-by-step explanation:
whenever a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial. as an example, we'll find the roots of the polynomial..
x^5 - x^4 + x^3 - x^2 - 12x + 12.
the fifth-degree polynomial does indeed have five roots; three real, and two complex.
Answer:
20 cm^2
Step-by-step explanation:
Sectioned it off and multiplied the length by the width
Answer:
Divisible by 3 is the answer
Step-by-step explanation:
First get everything to have the same base of 5
25^11 - 5^19
(5^2)^11 - 5^19
5^(2*11) - 5^19
5^22 - 5^19
Now factor out the GCF 5^19 to get
5^22 - 5^19
5^(19+3) - 5^(19+0)
5^19*5^3 - 5^19*5^0
5^19(5^3 - 5^0)
5^19(125 - 1)
5^19*(124)
At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4
Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4
Since 31 is a factor of the original expression, this means the original expression is divisible by 31.
<em>Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.</em>
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<em>Hopes that helps have a blessing day/night :)</em>
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Answer:
0.12
Step-by-step explanation:
Suppose there are 100 kids
60% have fever, so <em><u>what is 60% of 100?</u></em>
We convert percentage to decimal and multiply:
60/100 = 0.6
0.6 * 100 = 60 have fever
20% of the people having fever (60 of them) have sore throats, so,
<u><em>What is 20% of 60?</em></u>
We convert percentage to decimal and multiply:
20/100 = 0.2
0.2 * 60 = 12 have sore throat
So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:
