Answer:
a) -6/2
b) -9/2
Step-by-step explanation:
a) rearrange by making y the subject as y = mx+c
y = -6/2x-9/2
the gradient = -6/2
b) c is the y-intercept as it touch the y-axis, therefore -9/2 is where the line crosses the y-axis
Answer:
Step-by-step explanation:
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
