The answer would be B. Using the foil method to check, the two k's equal k^2, then the k and -f would equal -fk, plus the 2fk would equal a positive fk. Lastly, the 2f and -f would equal -2f^2.
If the questions are asking where the two equations meet the answer is (1,1)
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- (2x - y)/(2x + y) + (2x + y)/(3y - 6x) + 8xy/(12x² - 3y²) =
- (2x - y)/(2x + y) - (2x + y)/3(2x - y) + 8xy/3(2x + y)(2x - y) =
- [3(2x - y)² - (2x + y)² + 8xy] / [3(2x + y)(2x - y)] =
- [12x² - 12xy + 3y² - 4x² - 4xy - y² + 8xy] / [3(2x + y)(2x - y)] =
- [8x² - 8xy + 2y²] / [3(2x + y)(2x - y)] =
- 2{2x - y)² / [3(2x + y)(2x - y)] =
- 2(2x - y) / [3(2x + y)]
<u>Simplify the denominator:</u>
- (4x²y - 2xy²) / (6x + 3y) =
- 2xy(2x - y) / [3(2x + y)]
<u>Now simplify the remainder of the expression:</u>
- 2(2x - y) / [3(2x + y)] × [3(2x + y)]/[2xy(2x - y}] =
- 1/xy
we know that
<u>Applying the Pythagorean Theorem</u>
solve for HJ
in this problem we have
Substitute the values in the formula above
therefore
<u>the answer is the option</u>
B. 5 sq. root 3 units
Answer:
Olga's mistake: She did not multiply 
and 
in the beginning
Step-by-step explanation:
The main problem is that when a number is outside of the parentheses on the left side, then you have to multiply that number, in this case , by both numbers in the parentheses. After that, continue solving the problem as you usually would. Hope this helped!
