Quadratic equation + expression of a variable from the formula - math problems

Number of problems found: 152

  • Two expressions
    When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y?
  • At what
    At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s; the magnitude of the opposite acceleration during braking was 6.5 m/s ^ 2 and the car ran to a stop track 35 m?
  • Solve:
    Solve: 2r2+7r-r2-9
  • The width
    The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden?
  • Given 2
    Given g(x)=x2+x+1 where x=t2. What is g(t²)?
  • The surface
    The surface of the cylinder is 1570 cm2, its height is 15 cm. Find its volume and radius of the base.
  • A fraction
    I think of a fraction, if we increase its numerator and denominator by one, the value of the fraction increases by one tenth, what fraction do I think?
  • The farmer
    The farmer sees the back fence of the land, which is 50 m long at a viewing angle of 30 degrees. It is 92 m away from one end of the fence. How far is it from the other end of the fence?
  • The surface
    The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm2. Find the radii of the bases when their difference in lengths is 10cm.
  • Two gardens
    The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i
  • Truncated pyramid
    The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm2 greater than the upper base's content. Calculate the area of the upper base.
  • The car
    The car weight 1280 kg, increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert?
  • A isosceles
    A isosceles triangle has an area of 168 cm2 and it's added height and base is 370 cm. What are the measurements of it's height and base?
  • The block
    The block, the edges formed by three consecutive GP members, has a surface area of 112 cm2. The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
  • Woman's day
    We can easily make a heart for mothers for Woman's day by drawing two semicircles to the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
  • The sum
    The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
  • 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.
  • The cylinder
    In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
  • Rotary cylinder
    In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.
  • Hard cone problem
    The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone.

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