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The horizontal real line with positive direction to the right is called the horizontal axis, or the x-axis, and the vertical real line with positive direction upward is called the vertical axis, or the y-axis. Their point of intersection is called the origin. Each point in the plane is associated with an ordered pair (x, y) of real numbers x and y, called its coordinates. In an ordered pair, the first element is called the abscissa and the second element, the ordinate. Two ordered pairs are equal if and only if they have exactly the same coordinates.
Law of Sines two solutions 40 Trigonometry Situation in the Problem Use No. of solutions You are given the measure of two sides and a non-included acute angle (SSA), and the length of the altitude from the vertex where the two given sides meet falls between the lengths of the two given sides. Neither no solution You are given the measure of three angles (AAA). Neither no unique solution Tip: When solving an oblique triangle, be sure to set the mode of your calculator to degree mode if the angle measurements are in degrees and to radian mode if the angle measurements are given in radians.
When a line slopes upward to the right, its slope is positive and when a line slopes downward to the right, its slope is negative. All horizontal lines have slope 0. Vertical lines have no slope. If two lines are parallel their slopes are equal; and if two lines are perpendicular, their slopes are negative reciprocals of each other. To find the distance between two points on a coordinate graph, use the formula: Distance between two points = _ x 2 - x 1i + _ y 2 - y 1i 2 2 To find the midpoint between two points on a coordinate graph, use the formula: Midpoint between two points = d x 1 + x 2 y1 + y 2 , 2 2 n Tip: Notice that you add, not subtract, the coordinates in the numerator.