Analytic geometry - practice problems - page 4 of 14
Number of problems found: 261
- X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
- Coefficient 81704
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4.
- Intersection 81611
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides.
- Intersections 80587
Draw the graph of the function y = -2x + 3. Calculate the coordinates of the intersections of the function's graph with the x and y axes.
- Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]
- Line - slope intercept form
What is 2x−y= 4 in slope intercept form?
- Coordinates 80452
A (a1, 4) B(7, -2) segment AB has a center where both coordinates are equal
- Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2).
- FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
- Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court?
- Crosswind
A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed?
- The coordinates 2
The coordinates of the vertices of the triangle shown are A(1,7), B(5,2), and C(5,7). What is the length of segment AB in units?
- Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it
- 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 a
- 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?
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