<span>The perimeter is 14.47
Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result.
Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5
Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5
Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47
Now add the length of each side together
5 + 5 + 4.47 = 14.47</span>
The answer is y= -x/2 -1 solving for the Y
So what you do is evaluate g(2) then plug that value in for x in f(x)
g(2)=2^2-6(2)-7
g(2)=4-12-7
g(2)=-15
now
f(-15)=-15+8
f(-15)=-7
f(g(2)=-7
Answer:
6x-5
Step-by-step explanation:
We apply distributive property to get rid of the first parenthesis, by multiplying each term inside by the factor 1/6:

now we get rid of the second parenthesis by multiplying the factor "
" times each of the terms inside the parenthesis (notice here that this factor is negative , so it will flip the signs of the terms it multiplies):

Next we combine like terms:

50 + k = 500 <span>because </span><span>x + k = y
50 + 450 = 500
so the answer is
50 + 450 = 500 or just 450</span>