Question

Can someone check my answers?

1. Convert 13pi/30 to degree measure.
78°
2. Find the distance between (4,4) and (8,7).
5
3. What is the vertex of the parabola y = (x + 8)^2 - 2?
(-8,-2)
4. The graph of y = 6(x - 8)^2 + 1 open downward.
False.
5. An angle that measures pi radians equals 360°.
False.
6. What is the center of the graph of 6(x + 9)^2 + 4(y - 2)^2 = 36?
(-9,2)
7. Find the four corners of the fundamental rectangle of the hyperbola: x^2/81 - y^2/36 = 1.
(±9,±6)
8. Find the exact solutions of x^2 - (y - 6)^2 = 36 and y = -x^2.
-x^4 - 11x^2 - 36?
9. If sin B = 5√2/5√3, find the value of csc B.
√6/2
10. Which value is greater: sin 60° or cos 30°?
They are equal.

Answer 1

1. A = (13pi/30)/(2pi) * 360o.
A = 13pi/30 * 1/2p1 * 360
A = 13/30 * 1/2 * 360 = 78o.

2. d^2 = (8-4)^2 + (7-4)^2 = 25.
d = 5.

3. Y = (x+8)^2 - 2.
Y = x^2 + 16x + 64 - 2 = x^2 + 16x + 62
(-8,-2).

4. Opens Upward.

5. pi radians = 180o.

9. csc B = 5sqrt(3)/5sqrt(2) = sqrt(3)/sqrt(2) = sqrt(3/2).

10. sin60 = cos30.