Divide the rational expressions below and simplify as much as possible:
2 answers:
Apply fraction rule to flip the second fraction to times the two fractions...
< x^2+8 / 2x^2+x-3 * x-1 / x+2 >
Then you can multiply the fractions:
< (x^2+8)(x-1) / (2x^2+x-3)(x+2) >
Factor (2x^2+x-3) as (x-1)(2x+3) so we can cancel out (x-1) from the denominator and numerator < (x^2+8)(x-1) / (x-1)(2x+3)(x+2) >
< = x^2+8 / (2x+3)(x+2) >
Expand denominator (2x+3)(x+2) with foil method shown in image:
Therefore the answer is < = x^2+8 / 2x^2+7x+6 >
< x^2+8 / 2x^2+x-3 * x-1 / x+2 >
Then you can multiply the fractions:
< (x^2+8)(x-1) / (2x^2+x-3)(x+2) >
Factor (2x^2+x-3) as (x-1)(2x+3) so we can cancel out (x-1) from the denominator and numerator < (x^2+8)(x-1) / (x-1)(2x+3)(x+2) >
< = x^2+8 / (2x+3)(x+2) >
Expand denominator (2x+3)(x+2) with foil method shown in image:
Therefore the answer is < = x^2+8 / 2x^2+7x+6 >
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Option a: is the length of b
Explanation:
The angle of B is and
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where ,
,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is
Hence, Option a is the correct answer.