Examples of equations for high school - page 34 of 63
Number of problems found: 1255
- Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - 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. - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Intercept with axis
F(x)=log(x+4)-2, what is the x intercept
- Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - 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 sum 2
The sum of five consecutive even integers is 150. Find the largest of the five integers. A.28 B.30 C.34 D.54 Show your solution and explain your answer.
- 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 - Together 6519
One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours?
- 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
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