Answer:
Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!
Answer:
2n+2
Step-by-step explanation:
-n+(-3)+3n+5
-3+5+3n-n
2+2n or 2n+2
Given that
And
Comparing both functions we see that g(x) is 3 times more than f(x) so we can write:
g(x)=3 f(x)
Now using g(x)=3 f(x), we have to tell what type of transformation occurs from f(x) to g(x).
Remember that when some number is multiplied with f(x) then that either compresses or stretches the given function.
when multiplied number is greater than 1 the it creates stretch.
in g(x)=3 f(x), we see that multiplied number 3 is more than 1 so that indicates stretch.
Hence choice D) g(x) stretches vertically by factor of 3. is correct.
I think it’s triangle four
Anwer: draw a square with side length equal to the square root of the area of the rectangle.
Explanation:
The rectangle that has the greatest perimeter given a fixed area is the square.
So, take the square root of the area and draw a square with that side length.
The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.
These are the steps:
1) dimensions of the rectangle:
length: l
width: w
perimeter formula: p = 2l + 2w
area formula: A = lw
2) solve l or w from the area formula: l = A / w
3) write the perimeter as a function of w:
p = 2 (A / w) + 2w
4) find the derivative of the perimeter, dp / dw = p'
p' = - 2A / w^2 + 2
5) The condition for optimization is p' = 0
=> -2A / w^2 + 2 = 0
=> 2A / w^2 = 2
=> w^2 = A
Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A