The most difficult examples
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
- Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
- Box and whisker plot
Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
- Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
- 10 pieces
How to divide the circle into 10 parts (geometrically)?
- Three points
Mark three points E, F and G in the plane not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
- The sum graphically
Draw a graphically sum of the all sides of 4-gon ABCD.
- Draw it!
Draw two lines c, d that c || d. On line c mark the points A, B. By point A lead perpendicular line to c. By point B lead perpendicular line to c.
- Square ABCD
Construct a square ABCD with cente S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct square image in the displacement given by oriented segment SS'; S` [-1 - 4].
What is LCD of the equation of ? ? And what is x?
- Unit rate
Find unit rate: 6,840 customers in 45 days
A customer purchase three (3) writing pads from a store. She receive k9.70 change from a k10.00 note . How much was it's writing pad cost?
- 6 terms
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6
- Hamster cage
Ryan keeps his hamster cage on his dresser. The area of the top of Ryan's dresser is 1 2\3 as large as the area of the bottom of his hamster cage. The area of the dresser top is 960 square inches. How many square inches of his dresser top are not covered b
The diameter of a circular plot is 14 dm. Find the circumference and area.
- Solve equation
solve equation: ?
- Series and sequences
Find a fraction equivalent to the recurring decimal? 0.435643564356
- Equation with abs
Solve this equation with absolute value member: ?
The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.
- Hexagon rotation
A regular hexagon of side 6 cm is rotated through 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated?