Real numbers + square (second power, quadratic) - practice problems
Number of problems found: 35
- Domains of functions
F(x)=x2-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5x
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=r2
- Triangle ABC
Calculate the sides of triangle ABC with area 1404 cm² and if a: b: c = 12:7:18
The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle.
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.
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?
Determine the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm.
From the equation of a circle: 2x² +2y² +20x -20y +68 = 0 Calculate the coordinates of the center of the circle S[x0, y0] 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°.
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.
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.
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.
Real numbers - practice problems. Square (second power, quadratic) - practice problems.