Square + line - practice problems - page 2 of 6
Number of problems found: 114
- Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Perpendicular 82994
The straight line p is given by the formula y = 1/2 x - 1 . The line q is perpendicular to the line p and passes through the point A [1; 5]. Determine the y-coordinate of the point that intersects the line q with the y-axis. - Perpendicular projection
Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0. - 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
- Square
Draw a square on the edge of a = 4 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry does? Write down. - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Symmetry 13501
Draw a square KLMN, a point R that is a point of the square, and a point S that is not a point of this square. Draw the image of the square KLMN in central symmetry with the center : a) at point s b) at point M c) at point R - Coordinates 83025
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3
- Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p? - Horizontally 5480
Let's have a 4x6 grid, i.e., with 5x7 grid points. Can each grid point be colored white or blue so that each point has an even number of white neighbors? At the same time, those points that are connected by one line of the grid are considered to be neighb
- Trolleybus
Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip. - In the
In the rectangle ABCD, the distance of its center from line AB is 3 cm greater than from line BC. The circumference of the rectangle is 52 cm. Calculate the area of the rectangle. Express the result in cm². - Distance of the parallels
Find the distance of the parallels, which equations are: x = 3-4t, y = 2 + t and x = -4t, y = 1 + t (instructions: select a point on one line and find its distance from the other line) - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Determine 82478
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line.
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