Answer:
A. KM
Step-by-step explanation:
A circle is named by its center. Circle K has its center at point K.
A radius is a line segment that extends from the center of the circle to a point on the circle. Point K must be one end of any radius.
<h3>Application</h3>
Segment KM is a radius.
Segments between points on the circle are <em>chords</em>. The other named segments in the answer choices are all chords of the circle.
1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
Answer:
25x³ + 13x² + 12x + 3
Step-by-step explanation:
(3x²+ 5x +6) + (25x³ + 10x² + 7x– 3)
3x²+ 5x + 6 + 25x³+ 10x² + 7x – 3
25x³ + 3x² + 10x² + 5x + 7x + 6 - 3
25x³ + 13x² + 12x + 3
