Time + quadratic equation - practice problems - page 2 of 4
Number of problems found: 61
- -2x-4y-20=0 82677
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Elišča's 5549
"My daughter will be x years old in x²," said Elišča's father in 1991 at her birthday party. a) When will the said event occur, and how old will Eliška be at that time? b) In what year was Eliška born? c) How old was Eliška in 1991? - A missile
A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises. Fps foot per second. - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work? - Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then the first worker did the remaining work himself. In what proportion should the remuneration of the workers - Abyss
The stone fell into the abyss: 2 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 343 m/s) - Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le - At what
At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s; the magnitude of the opposite acceleration during braking was 6.5 m/s², and the car ran to a stopped track 35 m? - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 370 cm. What are the measurements of its height and base? - Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km. - Blueberries 2
Lenka and Martin collected eight liters of blueberries in two hours. How long will Lenka take to collect blueberries itself if we know that she collects all 2.5 hours less than Martin? - Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area. - Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d. - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Acceleration 7124
The train passes 700m, braking with an acceleration of -0.15 m / s². How long does it break, and what is the final speed of the train if the initial was 55 km / h? - The car
The car weight 1280 kg and increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert? - Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B unknown speed and for an unknown period. Back to point A went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey? - Trains
From station 130 km away started passenger train and after 1.9 hours after the express train, which travels 27 km an hour more. Express train finish journey 5 minutes early. Calculate the average speed of these two trains.
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