Respuesta :

Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

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]

Step-by-step explanation:

[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]