Question

dentists describe teeth as being located in one of four quadrants as shown below. (a) how many teeth are located in the lower right quadrant? teeth (b) why would the upper left quadrant appear on the right in the illustration? the upper left quadrant appears on the right because it represents the patients left side. the upper left quadrant appears on the right because it represents the patients right side. explain why the coordinates of the origin are (0, 0). both axes are number lines. their point of intersection, the origin, is where they start, with values x = 0 and y = 0. thus, the (x, y) coordinate pair at the origin is (0, 0). both axes are straight lines. the origin is defined to be the solution to the equation x + y = 0, so the coordinates of the origin are (0, 0). because the smallest number is zero the axes begin at this point. thus, the coordinates of the origin are (0, 0). both axes are number lines. their point of intersection, the origin, is where x = 0 and y = 0, that is, the point that separates the positive values from the negative values for each axis. thus, the coordinate pair at the origin is (0, 0).

Explanation:

Step1: Count teeth in lower right quadrant

Typically, in a full - set of adult teeth, each quadrant has 8 teeth.

Step2: Analyze upper left quadrant position

When looking at a patient's mouth, the upper left quadrant of the patient appears on the right side of the illustration because we are viewing the patient's mouth from the dentist's perspective.

Step3: Explain origin coordinates

The origin of the coordinate system is the intersection point of the x - axis and y - axis. On number lines (which the axes are), this intersection occurs where \(x = 0\) and \(y=0\), and it is the point that separates positive and negative values for each axis.

Answer:

(a) 8
(b) The upper left quadrant appears on the right because it represents the patient's left side.
(c) Both axes are number lines. Their point of intersection, the origin, is where \(x = 0\) and \(y = 0\), that is, the point that separates the positive values from the negative values for each axis. Thus, the \((x,y)\) coordinate pair at the origin is \((0,0)\).