Since we know that squares have the same length on all sides, you would find the square root of 170
√170=13.03840481
rounded to the nearest tenth would be 13.1
You can check your work by multiplying 13.1 by 13.1 which equals 170.3
I try to explain the problem and give the answer, I hope this helps!
Answer:
The dimensions are 9m by 18 m
Step-by-step explanation:
The perimeter will be
x+y+x for the three sides ( the wall is the fourth side)
2x+y = 36
Solving for y
y = 36-2x
The area is x*y and we want it maxed
A =x( 36-2x)
36x-2x^2
Taking the derivative
dA /dx = 36 - 2 * 2x
Setting this equal to zero to find the max
0 = 36 - 4x
4x = 36
Divide by 4
x = 36/4
x = 9
Now find y
y = 36-2x
y = 36 - 2*9
y = 36 - 18
= 18
The dimensions are 9m by 18 m
slope=(-16-5)/(-8-18)=21/26
ANSWER
B. The functions f(x) and g(x) because f(g(x))=g(f(x))=x
EXPLANATION
The given functions are:
and
If f(x) and g(x) are inverses, then
f(g(x))=x
Expand the parenthesis to obtain,
Also,
Hence f(x) and g(x) are inverses
