Analytic geometry - practice problems - page 9 of 13
Number of problems found: 260
- A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size? - Direction 7999
A (5; -4) B (1; 3) C (-2; 0) D (6; 2) Calculate the direction vector a) a = AB b) b = BC c) c = CD - Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square. - Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle.
- Symmetry by plane
Determine the coordinates of an image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0 - Midpoint 4
If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end? - Coordinates of midpoint
If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end? - Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k? - On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
- Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>. - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number) - Coordinates of vector Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
- Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Distance problem A=(x, x) B=(1,4) Distance AB=√5, find x;
- Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0 - Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa - Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - Points collinear
Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
