Answer:
The possible coordinates for R are contained in the following expression:
Explanation:
From statement we notice that line segment PQ is parallel to x-axis and by Geometry we know that an equilateral triangles have three side with equal length and three angles of 60°. In consequence, the height of the triangle is parallel to the y-axis and the possible coordinates for point R are contained in this equation:
(1)
Where:
, 
- Coordinates of the midpoint of the line segment PQ.
- Side length of the line segment PQ.
The length of the line segment PQ is determined by the Pythagorean Theorem:
(2)
If we know that 
and 
, then the length of the line segment PQ is:
![l_{PQ} = \sqrt{[-2-(-9)]^{2}+[(-2)-(-2)]^{2}}](https://tex.z-dn.net/?f=l_%7BPQ%7D%20%3D%20%5Csqrt%7B%5B-2-%28-9%29%5D%5E%7B2%7D%2B%5B%28-2%29-%28-2%29%5D%5E%7B2%7D%7D)
And the coordinates of the midpoint are, respectively:
Lastly, the possible coordinates of vertex R are, respectively:
Answer:
Transcendentalism is a philosophical movement that developed in the late 1820s and 1830s in the eastern United States. It arose as a reaction, to protest against the general state of intellectualism and spirituality at the time. A core belief of transcendentalism is in the inherent goodness of people and nature.
Answer:
C
Explanation:
The connotation of the words used are mostly neutral to positive leading to the tone of being attentive and discretionary.
He objects to Ahab’s pursuit of a creature that is too cunning. Captain Ahab intends to save Starbuck while they are sailing on the seas. During their trip the boats are attacked by Mobydick. This is the reason why Captain Ahab objects to Starbuck's desire and he forgets about his promise.
