A circle is a geometric object that has symmetry about the vertical and horizontal lines through its center. When the circle is a unit circle (of radius 1) centered on the origin of the x-y plane, points in the first quadrant can be reflected across the x- or y- axes (or both) to give points in the other quadrants.
That is, if the terminal ray of an angle intersects the unit circle in the first quadrant, the point of intersection reflected across the y-axis will give an angle whose measure is the original angle subtracted from the measure of a half-circle. Since the measure of a half-circle is π radians, the reflection of the angle π/6 radians will be the angle π-π/6 = 5π/6 radians.
Reflecting 1st-quadrant angles across the origin into the third quadrant adds π radians to their measure. Reflecting them across the x-axis into the 4th quadrant gives an angle whose measure is 2π radians minus the measure of the original angle.
Answer:
-x/x^2-1
Step-by-step explanation:
-x^2+x/x^3-x^2-x+1
x(-x+1)/(x+1)(x-1)(x-1)
-x/x^2-1
Answer:
23
Step-by-step explanation:
25 + 17 + 38 + 11 + 24 = 115 / 5 = 23
Answer:
a) 7 tiles
b)4 1/3 tiles*
Step-by-step explanation:
*you would need 5 tiles if the answer isn't supposed to be a fraction. 4 1/3 is the exact amount but if they are asking for whole tiles you need to put 5. since they didn't actually specifiy that i don't think you have to worry about it. i would go with 4 1/3 tiles