Quadratic equation - high school - practice problems - page 13 of 23
Number of problems found: 458
- 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 - Algebra
If x+y=5, find xy (find the product of x and y if x+y = 5) - Great-grandfather 6705
Monika was born on the day his great-grandfather was 90 years old. How old is Monika if the product of their ages is 1000? - 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.
- Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Diagonals
What x-gon has 54 diagonals? - 2 pipes
Two pipes can fill a tank in 35 minutes. The larger pipe alone can fill the tank in 24 minutes less than the smaller pipe. How long does each piece take to fill the tank alone? - The length
The length of a rectangle is 6 meters, less than twice the width. If the area of the rectangle is 216 meters, find the rectangle's dimensions. - Kilometers 6535
Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later.
- Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig. - Determine 6533
A total of 256 tickets were sold for the concert. CZK 2,800 was collected for tickets under the stage, and CZK 2,160 for tickets to the corridors. Determine the price of tickets under the stage and on the corridors, if you know that the ticket under the p - Equation 6513
Solve the equation (y + 5 / y-3) + (y + 3 / y-5) = 3 - Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9 - Determines 6508
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors.
- 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 - Expression with powers
If x-1/x=5, find the value of x4+1/x4 - Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.