Planimetrics + system of equations - practice problems - page 12 of 14
Number of problems found: 263
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0
- Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7) - Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area. - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².
- The ratio 7
The ratio of the sides of two squares is 4:5 if the sum of their areas is 180 cm². Find the sides of the two squares. - Right triangle
The 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. - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum. - Father and son
Father and son are 74 years old together. Son is 30 years younger than father. How old is the son? - Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r²
- Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage? - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Circumference 6598
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter. - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - 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?
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