Line - examples
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
How many parts of line divide 5 (different) points that lie on it?
Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p?
On how many parts divide plane 8 parallels?
- Pizza master
Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
- Lie/do not lie
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.
It is true that the lines that do not intersect are parallel?
In how many points will intersect 11 different lines, where no two are parallel?
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.
Determine the slope of the line perpendicular to the line p: y = 9x +7.
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?
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.
What is the slope of the line defined by the equation -4x -2y = -7 ?
- Angle between lines
Calculate the angle between these two lines: ? ?
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?
How many different circles is determined by 12 points at the plane, if 7 of them lie in a straight line?
- Supplementary angles
One of the supplementary angles are three times larger than the other. What size is larger of supplementary angles?
Calculate the slope of a line that intersects points (38,-23) and (-93,5).
What is the slope of a line with an inclination 1.06 rad?
Find the slope of the line: x=t and y=1+t.