Answer

Math Assignment

1. Question One

Distance between points K and C;

Displacement = √(x­­₁-x­_2­)² + (y₁-y₂)²

D = √(9-2)² + (-9+4)²

    = √74

    =8.6

2. Question Two

Midpoint M between C and D;

3. Question Three

Equation of a circle;

(x-x₁)²+ (y-y₁)² = r²

(x – 7)² + (y + 2)² = 81

x² – 14x + 49 + y² + 4y + 4 = 81

x² + y² – 14x + 4y – 28 = 0

4. Question Four

Graph of line

5. Question Five

x and y-intercepts of 6x – 3y = 12

x-intercept (y = 0); 6x = 12

                                  x = 2

y-intercept (x = 0); -3y = 12

                                  y = -4

x-intercept = (2,0)

y-intercept = (0,-4)

6. Question Six

Slope of the line passing through (2,5) and (8,-4)

Slope =

Slope

7. Question Seven

Equations for the horizontal and vertical lines passing through (-7,-4);

Horizontal; y = -4

Vertical; x = -7

8. Question Eight

Slope and the y-intercept of the line 6x – 3y = -9

Slope = 2

y-intercept = 3

9. Question Nine

Radius and center of a circle x² + y² + 4x – 2y – 11 = 0;

x² + 4x + (4) + y² – 2y + (1) = 11 + (5)

(x + 2)² + (y – 1) ² = 4²

Centre = (-2,1)

Radius = 4 units

Graph of the circle;