Answer:
The coordinates of E are 
.
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
![P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29%20-%20O%28x%2Cy%29%5D)
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
, 
![D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20k%5Ccdot%20%5B%280%2C4%29-%20%280%2C0%29%5D)
Lastly, we transform point C into point E by applying the same operation: 
, 
and
![E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20%5B%283%2C0%29-%280%2C0%29%5D)
The coordinates of E are .
Hope this helps you...!!!
Answer:
- 3/8 in/ft
- 1/32 . . . (pure number, no units)
Step-by-step explanation:
The ratio can be expressed directly as ...
... (6 in)/(16 ft) = 3/8 in/ft
This can be read or used in different ways:
Or, the units can be made compatible and the ratio expressed as a pure number.
... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32
This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.
Answer:
yes.......................
Step-by-step explanation:
