Answer:
please check the attached file for the answer
Step-by-step explanation:
the explanation is in the attached file
Answer:
2x + 9
Step-by-step explanation:
Let, "A number", be denoted by the variable, x.
Note the meaning of each part:
"the sum" means addition, or + .
"twice" means multiply by 2
Put the parts together:
The sum of 9 and twice a number
2x + 9 is your amsw34.
Answer:
z=12
Step-by-step explanation:
divide by 1/2 to get the variable z by itself
Answer:
1-2
Step-by-step explanation:
It's 1-2 beacause from 1-2 the oriantation did not change, the size did not change, the shape did not change, and it was not a mirror image
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:
(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
.