15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2
The center of the circle is expressed as (h,k) in the standard form of equation. In this case, the diameter endpoints are <span>(-3, 8) and (7, 4). Hence the circle center has coordinates which are the midpoints of the two points.
x = (-3 + 7) /2 = 2
y = (8 + 4) /2 = 6
hence the center of the circle is (2,6)</span>
Answer:
{2, 3, √13}
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides equals the square of the third side (Pythagoras).
Let's check each set of sides in turn.
A. {2, 3, √13}
2² + 3² = 4 + 9 = 13
(√13)² = 13
This is a right triangle.
B. {5, 5, 2, √10}
This is a quadrilateral (four sides).
C. {5, 12, 15}
5² + 12² = 25 +144 = 169
15² = 225
This is not a right triangle.
Answer:
880
Step-by-step explanation:
