I believe that it would come out to become true
Hello,
First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.
Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.
Finally,
B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC
Sorry for that much information, but I think it’s useful. XD
The distance between Angela's house and the gas station, is the distance between the points (4,3) and (10,8). To find that distance, we are going to use the distance formula:
![d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%20)
From our two points we can infer that
![x_1=4](https://tex.z-dn.net/?f=x_1%3D4)
,
![y_1=3](https://tex.z-dn.net/?f=y_1%3D3)
,
![x_2=10](https://tex.z-dn.net/?f=x_2%3D10)
, and
![y_2=8](https://tex.z-dn.net/?f=y_2%3D8)
. So lets replace those values in our ditance formula:
![d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%20)
![d= \sqrt{(10-4)^2+(8-3)^2}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%2810-4%29%5E2%2B%288-3%29%5E2%7D%20)
![d= \sqrt{(6)^2+(5)^2}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%286%29%5E2%2B%285%29%5E2%7D)
![d= \sqrt{36+25}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B36%2B25%7D)
![d= \sqrt{61}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B61%7D%20)
We can conclude that the gas station is
![\sqrt{61}](https://tex.z-dn.net/?f=%20%5Csqrt%7B61%7D%20)
units, which is approximately 7.8 units, from her house.
Answer:
17 units
Step-by-step explanation:
We are told in the question that:
The patient has been receiving 20 units of Lantus.
The order reads that if your patient is NPO, reduce Lantus by 15% , because. now the patient has become NPO (nothing through the mouth) for surgery
The amount to units to reduce Lantus by is calculated as:
15 % of 20 units
= 15% × 20 units
= 3 units.
Hence, if a patient is NPO the Lantus is reduced by 3 units
The number of units of Lantus should the patient receive now that he is NPO
is calculated as
= 20 units - 3 units
= 17 units.
Therefore, the number of units of Lantus should the patient receive now that he is NPO is 17 units.
Answer:
That is ur answer. I was unable to type that so I use took a screenshooton my phone .
Step-by-step explanation: