Question

Do these 3 and show your work

Answer 1

`Domain:\ x\\eq-6\\\\(5)/(x+6)=10\to(5)/(x+6)=(10)/(1)\ \ \ \ |\text{cross multiply}\\\\10(x+6)=(5)(1)\ \ \ \ \ |\text{use distributive property}\\\\(10)(x)+(10)(6)=5\\\\10x+60=5\ \ \ \ |-60\\\\10x=-55\ \ \ \ |:10\\\\\boxed{x=-5.5}\in D`

`Domain:\\(5)/(x+6)\geq0\ \wedge\ x+6\\eq0\to x+6 > 0\to x > -6\\\\\sqrt{(5)/(x+6)}=10\ \ \ \ \ |^2\\\\\left(\sqrt{(5)/(x+6)}\right)^2=10^2\\\\(5)/(x+6)=100\\\\(5)/(x+6)=(100)/(1)\ \ \ \ |\text{cross multiply}\\\\100(x+6)=5\ \ \ \ \ |:100\\\\x+6=0.05\ \ \ \ \ |-6\\\\\boxed{x=-5.95}\in D`

`Domain:x+3\geq0\to x\geq-3\\\\√(2x+3-x)=2\to√(x+3)=2\ \ \ \ |^2\\\\(√(x+3))^2=2^2\\\\x+3=4\ \ \ \ |-3\\\\\boxed{x=1}\in D`