On the model scale drawing, approximately how far should each edge of the bed be from its own corner of the wall? use complete sentences to explain your reasoning.

Solution:

Considering  room to be in the shape of Cuboid as well as the Bed to be in the shape of Cuboid.

Dimensions of Room

Let Length of cuboid which is in the shape of room = L

Breadth of cuboid which is in the shape of  room = B

Height of cuboid which is in the shape of room = H

Considering, L>B>H

Dimension of Bed

Length= units

Breadth= units

Height= units

Taking one corner at origin i.e (0,0,0)

You can keep your bed at any place inside the room, but you want your bed to be at that place inside the room where the window is located so that proper ventilation and sunlight can enter your room.

Taking bed to be in the middle of room near the window and considering it's upper face

Distance from one corner i.e from length= B- = Units

Distance from other corner=  0 Units

Distance from Breadth of one side of wall= units

Distance from one corner i.e from Breadth =L - -=

Distance from floor i.e surface= units

Distance from Ceiling= H - = units

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1