Answer:
Step-by-step explanation:
let us calculate area of pentagon.
it consists of 5 isosceles triangles with base=5 cm
apothem h=3.6 cm
area of pentagon=5×1/2×5×3.6≈45 cm
area of 2 pentagons (top and bottom)=2×45=90 cm²
lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²
Total surface area=90+300=390 cm²
For this case we have:
By definition, two points are needed to find the equation of a line. We have a series of points given by:
We chose two points:
By definition, the formula of the slope is given by:
Substituting:
Being a line of the form 
, we substitute a point and the slope found to find the cut point b.
Thus, the equation of the line is given by:
Answer:
Option C
F(x)= 2/(x+1) and g(x)= -x2-12 => f(-7)= ? , g(2.5)= ?, g(f(- 0.5))= ?
In the expression of the function f(x) we will replace instead of x the number in bracket (-7) => f(-7) = 2/(-7+1)= 2/-6 = - 1/3
In the expression of the function g(x) we will replace instead of x number in bracket (2.5) => g(2.5) = - (2.5)squared -12= - 6.25 -12= - 18.25
Expression f(g(x)) or g(f(x)) is multiplication (composition) of the reflecting of functions f and g. We will do this in the following way => g(f(x))= g(2/(x+1))= -(2/(x+1))2 - 12= -(4/(x+1)2) -12= -4-12(x+1)2/(x+1)2=> we will replace instead of x the number in bracket (-0.5) or (-1/2) => g(f(-1/2) = -4-12((-1/2)+1)2/ ((-1/2+ 1)2= -4-12(1/2)2/(1/2)2=-4-12*(1/4)/(1/4)= (-4-3)/(1/4)=-28
Eaisier way => f(-1/2)=2/((-1/2)+1)=2/(1/2)= 4 g(4) -(4)2-12 = -16-12= -28
f(-2) means the x value is -2 and you need to find the y value at that point.
At x = -2 the line crosses the y axis at y = 2
f(-2) = 2
