Answer:
Option (4)
Step-by-step explanation:
Equation of a line passing through a point and with slope 'm' is,
y - y₁ = m(x - x₁)
Given → Slope 'm' = -2
Point through which the line is passing is (-1, -2)
x₁ = -1 and y₁ = -2
Therefore, equation will be,
y + 2 = -2(x + 1)
y = -2x - 2 - 2
y = -2x - 4
Option (4) is the correct option.
Answer:
Option (3)
Step-by-step explanation:
The ramp shown in the figure is in the shape of a triangular prism.
Therefore, total surface area of this ramp = Area of the triangular sides + Area of the base + Area of the vertical side + Area of the slanting side
Area of the triangular sides =
= bh
= 4×3
= 12 square feet
Area of the rectangular base = Length × Width
= 4 × 8
= 32 square feet
Area of the vertical side = Length × Width
= 3 × 8
= 24 square feet
Area of the slanting side = Length × width
= 8×5
= 40 square feet
Total surface area = 12 + 32 + 24 + 40
= 108 square feet
Option (3) will be the answer.