Answer:
r = 3.
Step-by-step explanation:
16 = 10 + √(3r + 27)
√(3r + 27) = 6
Square both sides:
3r + 27 = 36
3r = 36 - 27 = 9
Check the result:
Left side of the equation = 16
Right side = 10 + √(9 + 27)
= 10 + √36 = 16
Answer: r = 9
Given:
[tex]16=10+\sqrt{3r+27}[/tex]
[tex]16-10=\sqrt{3r+27}[/tex]
[tex]6=\sqrt{3r+27}[/tex]
Taking square on bothsides, we get
[tex]36=3r+27[/tex]
[tex]3r=36-27[/tex]
[tex]r=\frac{9}{3}[/tex]
[tex]r=3[/tex]
