# System of equations + quadratic equation - math problems

#### Number of problems found: 73 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]
• 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.
• Consecutive members The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, c of the blocks for which a
• 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.
• Sequence 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 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
• Circle Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
• Garden The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
• Sum-log 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?
• Friends 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.
• 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 value of c

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