Quadratic equation + square (second power, quadratic) - practice problems - page 8 of 14
Number of problems found: 263
- Rectangle - area, perimeter
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. - Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid. - Square root 2
If the square root of 3m² +22 and -x = 0, and x=7, what is m? - Expressions 3
If k(x+6)= 4x² + 20, what is k(10)=?
- Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center. - Solve: 6632
For n ϵ N solve: 100 = (0.01n)²
- Dimensions 6496
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - Evaluation of expressions
If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³ - ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism. - Rectangular 6255
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle. - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm.
- Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Rectangular 5611
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Simultaneously 5610
Two cyclists rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1
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Are you looking for help with calculating roots of a quadratic equation? Quadratic Equations Problems. Square (second power, quadratic) - practice problems.