Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator 
there are 2 roots:
For the polynomial that appears in the denominator there is 1 root:
Note that does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when 
Observe the attached image
Note that:
when 
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)
2(10)+43+2(10)=83
5(10)+33=83 X=10
Answer:
144
Step-by-step explanation:
2( 1/2 × 3 × 4 ) + ( 11 × 5) + ( 11 × 4 ) + ( 11 × 3)
= 12 + 55 + 44 + 33
= 144
Answer:
The third is if the alternate exterior angles, the angles that are on opposite sides of the transversal and outside the parallel lines, are equal, then the lines are parallel. And, fourth is to see if either the same side interior or same side exterior angles are supplementary or add up to 180 degrees. :)
Step-by-step explanation:
Use the law of cosines.
a2+b2−2abcosC=c2
Find the measure of angle C. It is the opposite side of c.
c2−a2−b2−2ab=cosC
cosC=13.62−22.52−182−2(22.5)(18)≈0.797
C=cos−10.797=0.649 rad=37.19∘
angle B:
a2+c2−2accosB=b2
cosB=b2−a2−c2−2ac
B=cos−1b2−a2−c2−2ac=cos−1182−22.52−13.62−2(22.5)(13.6)≈0.927 rad=53.13∘
angle A:
b2+c2−2bccosA=a2
A=89.68∘
