Quadratic Equations Problems - page 7 of 30
Number of problems found: 583
- Vertically 65984
We threw the stone vertically upwards at a speed of v = 15 m/s. How long will it be at a) 10 m, b) 12 m?
- 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.
- Substituted 65024
Which number should be substituted for the variable in the equation: 4x² (7-x) = a-3- (x-2), so that the root of the equation is the number 5?
- Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '.
- Construction 64524
The bricklayer and the apprentice will build the wall in 6 hours. If the bricklayer worked alone, the wall construction would take him 5 hours shorter than the apprentice. How long before the wall would the bricklayer build himself?
- Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit?
- Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last?
- Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block.
- Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides.
- An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers.
- Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3
- The same book
Alexander and Blanka bought the same book that had 240 pages. Blanka read four pages more a day than Alexander. Blanka read it before Alexander. Alexander read the book both weekend days longer. Using an equation or system of equations, calculate how many
- The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms.
- Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match?
- Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
- Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
- Graph move
When y=2x² has moved 2 units to the left and 3 units upward, what is the graph equation?
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =?
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