# Real numbers + square (second power, quadratic) - practice problems

#### Number of problems found: 35

- Domains of functions

F(x)=x^{2}-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . Domain of (f/g)(x). .. - Coordinate

Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5^{x} - Circle

Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: (x-x_S)^{2}+(y-y_S)^{2}=r^{2} - Triangle ABC

Calculate the sides of triangle ABC with area 1404 cm² and if a: b: c = 12:7:18 - Rectangle

The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle. - Garden

The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Cube zoom

How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %? - Rhombus ABCD

Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD. - Cylinders

The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much? - Short cut

Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters and you are at a friend's. The question is how much the journey will be shorter if you go direct across the field? - Angles

Determine the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm. - Circle

From the equation of a circle: 2x² +2y² +20x -20y +68 = 0 Calculate the coordinates of the center of the circle S[x_{0}, y_{0}] and radius of the circle r. - Cube in a sphere

The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Area of RT

Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5. - Area 4gon

Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 11, 5, 11, and 5. Inner angles are 45°, 135°,45°, 135°. - Movement

From the crossing of two perpendicular roads started two cyclists (each at the different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling. - Area of RT

The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle. - Square

Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD. - Square 2

Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD. - Cubes

One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 231 cm².

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Real numbers - practice problems. Square (second power, quadratic) - practice problems.