Quadratic equation - high school - practice problems - page 3 of 23
Number of problems found: 457
- Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7) - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution. - Rectangle 79084
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate the content in m². - Rectangle 78924
The length of the rectangle is 1 cm more than its width. Its content is 4 cm². What is its width? - Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - A construction 2
A construction company will be penalized for its bridge construction delays. The penalty is set at 4,000 for the first day and shall be subjected to a 1,000 increase for each succeeding day. The company can afford a maximum payment of 165,000 for a penalt - Calculate 78714
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side. - The product 9
The product of the third and second terms of the arithmetic progression is 3000. If the common difference is 10, find the first term. - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence. - A yard
Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m². Find its width and length. - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x? - Solve 12
Solve the following quadratic equation: 3/2-(2x-1)²=5/4 - Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s.
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