Easiest problem! (1/2, 6), 5/2
If you carefully match each shape to it's sides, Net A is the correct one. The key is the 14 and 13 sides. The 14 should be vertical in the net.
Surface area is just the area of each individual shape together.
There are the following shapes and dimensions:
Rectangle: 5 x 14 = 70
Rectangle: 12 x 14 = 168
Rectangle: 13 x 14 = 182
2 Triangles: 1/2 x 5 x 12 = 30 x 2 = 60
70 + 168 + 182 + 60 = 480 square inches.
Part a)
a) The given function is
We let
Interchange x and y.
Solve for y;
Part b) The range of f(x) refers to y-values for which f(x) exists.
The range of f(x) is
This is because the function is within y=-3 and y=3.
c) The range of
is
The domain is -3≤x≤3
This is because the domain and range of a function and its inverse swaps.
Part d) The graph is shown in the attachment.
Answer:
Slope of line =
Step-by-step explanation:
We have given two points,
(-4 ,-8) and ( - 18 , -10)
We need to find the slope of line passing through these two points.
i.e slope of line =
Here y₂ = -10 , y₁ = -8 , x₂ = -18 and x₁ = -4
Hence,
slope of line = =
Slope of line =