Analytic geometry - math word problems - page 13 of 14
Number of problems found: 267
- Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes? - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [1; -20; 3] m1 = 46 kg A2 [-20; 2; 9] m2 = 81 kg A3 [9; -2; -1 - 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. - Lie/do not lie
The rule f(x) = -x-10 gives the function. Find whether point C[5; -15] lies on this function. Solve graphically or numerically and give reasons for your answer.
- 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) - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10]. - Vector
Determine coordinates of the vector u=CD if C[12;-8], D[6,20]. - XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9]. - Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0 - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]?
- Cone
If the segment of the line y = -3x +4 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - 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 - Slope
What is the slope of a line with an inclination 3.96 rad? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6.
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
