Answer:
g(f(x)) = √(x^2 +17)
Step-by-step explanation:
For ...
f(x) = x^2 +9
g(x) = √(x +8)
The definition of g(f(x)) is ...
g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)
g(f(x)) = √(x^2 +17)
The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l =
48
Your answer is
48
.
We know that 1 yard equals 3 feet, therefore, we have:
65(3) + 2
= 195 + 2
= 197
therefore, 65 yards and 2 feet equals 197 feet
Answer: -4 . 2ⁿ⁻¹
Step-by-step explanation: This is a geometric progression
the nth term is given by arⁿ⁻¹
a = the first term of the sequence
r = common ratio
n= number of terms
for this sequence
a = -4
r = -8/-4 = 2
nth term, an = -4 . 2ⁿ⁻¹
Angle A is 29 and Angle B is 61. It’s problem can be solved by written the equation X+X+32=90. This becomes 2X+32=90 subtract 32 from each side making 2X=58 divide by 2 X=29 and just plug x in to solve for both angle names.