What is the equation of the line that passes through the point (-6, -3) and is perpendicular to the line y = -0.4x

y = 2.5 x + 12

Step-by-step explanation:

y = -0.4x

y = mx + b      m = - 0.4 = - 4/10

slope (m') of line perpendicular to y=-0.4x    m' = 10/4 = 2.5

y' = 2.5 x' + b'      b' = (-3) - (2.5 x (-6)) = (-3) + 15 = 12

equation: y' = 2.5 x' + 12

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.