Quadratic equation + system of equations - math problems
Number of problems found: 82
- Quadratic function
Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
- Non linear eqs
Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
- Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
- The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
- Rectangle SS
Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
- Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
- 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.
In the arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
- Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm3. Calculate the length of the other edges.
- Time gone
Square of Richard age equals the age of his mother. When he will be two times older than his mom will be 7/2 times older than he. How old is Richard and his mom?
- Two resistors
Two resistors when they give 25 ohms in series and 4 ohms in parallel what the values of
Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers.
- RT - hypotenuse and altitude
Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments?
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?
- Difference of two number
The difference of two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
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