Use the rational root theorem to list all possible rational roots for each equation. Then find any actual rational roots. X^3-4x
1 answer:
Answer:
Step-by-step explanation:
The given equation is
According to the rational roots theorem, the possible rational roots are all factors of the constant term, expressed over all
factors of the leading coefficient.
The factors of the leading term, 1 are:
±1
The factors of the leading coefficient are:
±1
The possible rational roots are:
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1) ,
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(given)
2) is a right angle (perpendicular lines form right angles)
3) and
are right triangles (a triangle with a right angle is a right angle)
4) (HL)
5) (CPCTC)
We are given
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines
now, we can plug values
Calculation of AC:
now, we can plug values
Perimeter:
we can plug values
Area:
we can use formula
now, we can plug values
...............Answer