task/30121970
12. (a - x) /x =1 ⇔ a/x =2. (a+x)/a = 1 +x/a =1 +1/2 = 1,5 .
12. (x+y) /y =4 ⇔x+y =4y ⇒x =3y. y / (x - y) = y / (3y - y) =y/2y = 0.5 .
9. ( 7/( b+7) +(b²+49) / (b²- 49) +7 / (7 -b) ) : (b+1) / 2 =
[ ( 7(b-7) +(b²+49) - 7(b+7) ) / (b²- 49) ] : (b+1) / 2 =
[ ( 7b - 49 + b²+ 49 - 7b - 49 ) / (b²- 49) ] : (b+1) / 2 =
[ ( b² - 49) / (b²- 49) ] *2 / (b+1) ] =2 / (b+1) .
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
task/30121970
12. (a - x) /x =1 ⇔ a/x =2. (a+x)/a = 1 +x/a =1 +1/2 = 1,5 .
12. (x+y) /y =4 ⇔x+y =4y ⇒x =3y. y / (x - y) = y / (3y - y) =y/2y = 0.5 .
9. ( 7/( b+7) +(b²+49) / (b²- 49) +7 / (7 -b) ) : (b+1) / 2 =
[ ( 7(b-7) +(b²+49) - 7(b+7) ) / (b²- 49) ] : (b+1) / 2 =
[ ( 7b - 49 + b²+ 49 - 7b - 49 ) / (b²- 49) ] : (b+1) / 2 =
[ ( b² - 49) / (b²- 49) ] *2 / (b+1) ] =2 / (b+1) .