Question

Who can help me with this please and thank you show work need it for tomorrow In the morning

Answer 1

see explanation

Explanation:

(a)

given
`√(2x-6)` + 2 = 10 ( subtract 2 from each side )

`√(2x-6)` = 8 ( square both sides )

2x - 6 = 64 ( add 6 to both sides )

2x = 70 ( divide both sides by 2 )

x = 35

As a check

`√(70-6)` + 2 =
`√(64)` + 2 = 8 + 2 = 10 correct

(b)

given T= 8, then substitution into the formula gives

8 = 1.25
`√(l)` ( divide both sides by 1.25

`√(l)` = 6.4 ( square both sides )

l = 6.4² = 40.96 feet

(c)

note that (g - f)(x) = g(x) - f(x), hence

x - 10 -(4x + 4) = x - 10 - 4x - 4 = - 3x - 14