Answer:
f(g(x)) = -1
Step-by-step explanation:
Let the three consecutive integers be x , x+1 ,x+2
Given, sum of three consecutive integers = -126
x +x+1+ x+2 = -126
3x +3 = -126
3x = -126 -3
3x = -129
x = -129/3
x = - 43
x +1 = -42
x +2 = -41
Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is . A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is .
The lateral surface area of the triangular pyramid is
cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared
Answer:
B
Step-by-step explanation:
let X represent the smaller paintings and Y represent the larger paintings
since she bought 8 paintings
X+Y=8
She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40
25×X+40×Y=230
25X+40Y=230
Answer:
see below
Step-by-step explanation:
translated 3 units down whic means -3 on the y
hence T1 (2,0), T2 (-4,-8), T3 (-2, 1)