# 9th grade (14y) + quadratic equation - examples

Looking for help with calculating roots of a quadratic equation?- Trapezoid 15

Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4 - MO SK/CZ Z9–I–3

John had the ball that rolled into the pool and it swam in the water. Its highest point was 2 cm above the surface. Diameter of circle that marked the water level on the surface of the ball was 8 cm. Determine the diameter of John ball. - 2nd class variations

From how many elements you can create 6480 variations of the second class? - Cinema

Cinema auditorium is built for 3591 people. The first row is planned for 39 seats and each next gradually 3 more. How many rows of seats will have auditorium? - Party

At party overyone clink with everyone. Together, they clink 406 times. How many people were at the party? - Euclid1

Right triangle has hypotenuse c = 15 cm. How large sections cuts height h_{c}=7 cm on the hypotenuse c? - Quadratic equation

Solve quadratic equation: x^{2}+16x-225=0 - Tangents

To circle with a radius of 98 dm from the point A guided two tangents. The distance of both points of contact is 155 dm. Calculate the distance from point A and circle centre. - Perimeter and legs

Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg and its content area is 24 cm^{2.} - Automaker

The automaker now produces daily 4 new cars more than last year so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles needed last year? - Circle

Circle is given by centre on S[-9; 4] and maximum chord 20 long. How many intersect points have circle with the coordinate axes? - Column

Perpendicular pole high 6 m tall broke and its toe fell 2.8 m from the bottom of the pole. At what height above the ground pole broke? - Pool

If water flows into the pool by two inlets, fill the whole for 9 hours. First inlet filled pool 8 hour longer than second. How long pool is filled with two inlets separately? - Tiles

From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 390 tiles. - Water reservoir

The water reservoir is filled through one inlet 4 hours later than both together, then another inlet 9 hours later than both together. For how long is filled by each separately? - Polygon 42

Which polygon has 42 more diagonals than sides? - Product

The product of two consecutive odd numbers is 899. What are this numbers? - RT - hypotenuse and altitude

Right triangle TWS has hypotenuse s=202 km and altitude to s is 99 km. How long are hypotenuse segments? - Rectangle

Area of rectangle is 1430. Its length is 29 larger than the width. What are the dimensions of the rectangle? - Rectangle

The perimeter of the rectangle is 22 cm and content area 30 cm^{2.}Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.

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