Analytic geometry - math word problems - page 12 of 13
Analytic geometry, also known as coordinate geometry, is a branch of mathematics that deals with the study of geometric shapes using the techniques of calculus and algebra. It uses a coordinate system to represent geometric shapes and equations, allowing for the use of algebraic methods to solve geometric problems. It is also used to model physical phenomena, such as the motion of objects in space.Number of problems found: 257
- Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto - Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is the point [17; -7]. What are the coordinates of point B? - Distance
What is the distance between the origin and the point (-11; 13)? - Vector sum
The magnitude of the vector u is 12 and the magnitude of the vector v is 10. The angle between vectors is 61°. What is the magnitude of the vector u + v?
- V - slope
The slope of the line whose equation is -6x +7 = 0 is - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11) - Slope form
Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a and b are the constants. - Line segment
For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y values for the point located 4 over 7, the distance from L to M. - Slope
Calculate the slope of a line that intersects points (-6,-25) and (79,23).
- Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius? - 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.
Plane coordinates of vertices: K[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
