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Afina-wow [57]
3 years ago
7

With the origin as the center of dilation, rectangle pqrs will be dilated by a scale factor of 1/3 to form rectangle pqrs'. what

will be the new coordinates for point q'
Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

For a dilation centered around the origin   
Dk (x,y) = (kx, ky)   
So let's say you have a rectangle PQRS where 
P = (0,0)
 Q = (4,0)
 R = (4,4)
 S = (0,4)  
 To get the dilation of this PQRS to P'Q'R'S' with scale factor 1/4 you multiply every coordinate by 1/4.   
 P' = (0.0)
 Q' = (1,0)
 R' = (1,1)
 S' = (0,1) 
 The new cordinates for point q(1,0)

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The speed v_{W/A} is what we want to find - this is the speed at which the wraiths are flying in the air.

(Note: \vec v denotes velocity, while v denotes speed)

Velocity of air relative to the ground:

\vec v_{A/G}=((69\,\mathrm{mph})\cos180^\circ,(69\,\mathrm{mph})\sin180^\circ)=(-69,0)\,\mathrm{mph}

The ring wraiths want their trajectory to be due north, which means their velocity relative to the ground should be

\vec v_{W/G}=(v_{W/G}\cos90^\circ,v_{W/G}\sin90^\circ)=(0,v_{W/G})

To an observer on the ground, v_{W/G} is the speed at which the wraiths would appear to be moving in the air.

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ra1l [238]

Answer:

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