System of equations + quadratic equation - math problems
Number of problems found: 84
- Non linear eqs
Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
- Quadratic function
Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4)
- Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
- The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
- Sphere from tree points
Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
- Time gone
The Square of Richard's age equals the age of his mother. When he is two times older than his mom will be 7/2 times older than he. How old are Richard and his mom?
- Right triangle
Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Rectangle SS
Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
- Two grandmothers
Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot
- Intersections 3
Find the intersections of the circles x2 + y2 + 6 x - 10 y + 9 = 0 and x2 + y2 + 18 x + 4 y + 21 = 0
- GP - three members
The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c.
- Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
- Two resistors
Two resistors when they give 25 ohms in series and 4 ohms in parallel what the values of
In the arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers.
Some friends had to collect the sum 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm3. Calculate the length of the other edges.
- Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.
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