Analytic geometry - practice problems - page 4 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: 248
- Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer - Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1). - The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units? - The point
The point which lies in the fourth quadrant is A.(2,1) B.(1,-3) C.( -5,-2) D. (-4,0) E. (0,0) - Garrett
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a distance of 5 units from the x-axis and three units from the y -axis. Jeffrey places a treasure at point J at coordinates (5,3), and Garrett places one - An odd function
If the points (5, -6) and (-3, 4) lie on the graph of an odd function f, then what are the values of f(-5) and f(3)? Is it possible to know this without seeing the graph of f? - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - Rectangular 75334
In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5] - Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - 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). - The slope
Find the slope of the line that passes through the following two points: (-3, 16) and (-5, 30) Give your answer as a number, rounded to the nearest tenth, if necessary. - Which 12
Which table shows a proportional relationship between x and y? A) x 3 9 10 15 y 1 3 4 5 B) x 2 3 5 6 y 3 4 7 9 C) x 1 5 8 10 y 15 75 120 150 D) x 4 6 8 10 y 6 8 10 12 - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - A man 7
A man wandering in the desert walks 3.8 miles in the direction of S 44° W. He then turns and walks 2.2 miles in the direction of N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.) - A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)? - Calculate 66814
Calculate the area and perimeter of the right triangle ABC if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - Coordinates 66474
Draw a trapezoid in the coordinate system with bases 4cm long, 2cm long, and 3cm high. Please write down the coordinates of its vertices. - Coordinates 65224
The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ? - Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3
Do you have homework that you need help solving? Ask a question, and we will try to solve it.