Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
Answer: A) 3(10 - 5y) + 6y =12
Step-by-step explanation:
As per the question , the given system of linear equation :
Here , To solve the system of equations using substitution , Johanna isolates x in the second equation and writes
As per the substitution method , the next step is to substitute the isolated value of 'x' in first equation , thus the next step will become
Hence, the correct option is A) 3(10 - 5y) + 6y =12
To convert hour into minute: (No. of hour × 60) minutes
So, 2/5 hours = (2/5 × 60) minutes = (120/5) minutes = 24 minutes
Answer:
none of the answer above
the answer is X < -1/4
Step-by-step explanation:
7x-3x<1-2
4x<-1
x<-1/4
