Answer: D) (–2.2, –1.2)
Explanation: to divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:
Δy=║-4-3║=7
Δx=║-1-(-4)║=3
Then we divide those differences by 5.
7/5=1.4
3/5=0.6
and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).
Px=-4+3*0.6=-2.2
Py=3-3*1.4=-1.2
so the coordinates of the point we are looking for (which I called "P") are:
P(-2.2, -1.2).
Answer:
I will always study my lessons
The behavior suggest that: He is willing to do anything to achieve his goals.
Gareth realized that someone with a background like him is almost impossible to enter knighthood.
He took the job because he wanted to get Close to King Arthur and he eventually notices Gareth Value and potential.
The correct answer is A. Nonfiction writers are more often free to move about in time and space.
B is not correct because that is usually the characteristic of nonfiction, rather than fiction. C is incorrect because usually writers of fiction can embellish the facts because they are not based on actual information. D is incorrect because sometimes writers of nonfiction can express their passionate opinions, especially in essays.