Area of a full circle is PI x r^2
Area = 3.14 x 8^2 = 200.96
Area of a sector is area * central angle / full circle
Area = 200.96 x 5PI/3 / 2PI = 160PI/3
Answer is C.
Step-by-step explanation:
(c)
By area of similar triangle theorem:
Answer:
D. (y +4)² = -4(x -2)
Step-by-step explanation:
The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.
The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...
x = (1 +3)/2 = 2
The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...
(y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)
The equation is ...
(y +4)² = -4(x -2)
_____
<em>Additional comment</em>
Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.
Part 1:
The statement that is true about <span>the line passing through points A and B is
</span><span>The line has infinitely many points.
</span>
<span>Beacause of the arrows at the endpoints, the line does not have a finite length that can be measured.
</span><span><span>Any segment with at least two points has infinitely many points, because, intuitively, given any two distinct points, there is a third one, distinct from both of them, say, the middle point.
Thus, t</span>here are not only two points on the entire line.
The line can be called AB or BA, so there is not only one way to name the line.
</span>
Part 2:
Line FM can also be named line MF.
Therefore, the correct name for line FM is line MF.
Answer:
4:10
Step-by-step explanation:
let's start by adding 4 hours to 11:45
12:45
1:45
2:45
3:45
now let's add 25 minutes
3:70
that is 4:10