Line - examples

  1. Line
    line_points How many parts of line divide 5 (different) points that lie on it?
  2. Line
    img2 Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p?
  3. Plane
    rovnobezky On how many parts divide plane 8 parallels?
  4. Pizza master
    pizza_3 Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
  5. Lie/do not lie
    lines_and_points The function is given by the rule f(x) = -x-12. Determine whether point D[-4; 2] lies on this function. Solve graphically or numerically and give reasons for the your answer.
  6. Line
    skew_lines It is true that the lines that do not intersect are parallel?
  7. Lines
    lines_1 In how many points will intersect 11 different lines, where no two are parallel?
  8. Square
    rectangle2 Draw a square on the edge of a = 4 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry does? Write down.
  9. Perpendicular
    perpendicular Determine the slope of the line perpendicular to the line p: y = 9x +7.
  10. Mine
    bana What is temperature in the mine at a depth of 1575 m, where at depth 30 m is 16°C and every 30 m, the temperature increases by 0.8°C?
  11. Line
    negative_slope Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.
  12. Slope
    slope What is the slope of the line defined by the equation -4x -2y = -7 ?
  13. Angle between lines
    angle_two_lines Calculate the angle between these two lines: ? ?
  14. Tachometer
    tatra-dakar2 Tatra's tachometer shows the initial state 154009 km this morning. Tatra today travel at an average speed of 35 km/h. Determine the function that describes the Tatra's tachometer depending on the time. What is the state of tachometer after 4.8 hours?
  15. Circles
    circles How many different circles is determined by 12 points at the plane, if 7 of them lie in a straight line?
  16. Slope
    slope What is the slope of a line with an inclination 1.06 rad?
  17. Supplementary angles
    acuteangles One of the supplementary angles are three times larger than the other. What size is larger of supplementary angles?
  18. Slope
    lines.JPG Calculate the slope of a line that intersects points (38,-23) and (-93,5).
  19. Slope
    slope_1 Find the slope of the line: x=t and y=1+t.
  20. Tangents construct
    tecna Circle is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has with a line p angle 60°. How many solutions has the task?

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