Answer:
units
Step-by-step explanation:
The distance formula is
where
is the distance between points
and
. Let
and
, thus:

Therefore, the distance between points P(5,1) and Q(3,4) is
units.
Hey there! I was looking at your question for a bit then realized you meant
, the imaginary number, not "1" at the end of each number.
- Complex numbers are numbers involving both real and imaginary numbers; thus, this question wouldn't make much sense without the imaginary number

The expression we are given is:

Open parenthesis and combine like terms:


This is answer choice B (assuming it's supposed to be an
and not a "1" at the end)
Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
25*pi or
78.5 square units.
Step-by-step explanation:
If there was no shaded area, the area of the circle would be pi * r^2
r = 10
Area = pi * 10^2
Area = 100 * pi
Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.
Area_shade = 1/4 (100*pi)
Area_shade = 25 * pi
That's one answer.
Another is 25 * 3.14 = 78.5 square units

The graph is attached below.
In order to find the y-intercept, check the graph and see where it hits the y-axis, so in this case the y-intercept would be at (0,6).
To find the x-intercept, check the graph and see where it hits the x-axis, and here it hits at x = -6.