Equation + analytic geometry - practice problems
Number of problems found: 105
- Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC? - X intercept
Given: 3y+2x=-6 Calculate the X-intercept. - Line equation:
Line equation: y-3=8/9(x-5) Solve for slope - Y-intercept 2
What is the y-intercept of 4x + 8y =16? Write coordinates of x0, y0 of that y-intercept. - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2) - Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form. - Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa - A linear
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? - The linear
The linear equation 5y-3x-4=0 Can be written in the form y=mx+c. Find the values of m and c. - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Slope of line
What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)? - Coordinates 83025
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Perpendicular 82994
The straight line p is given by the formula y = 1/2 x - 1 . The line q is perpendicular to the line p and passes through the point A [1; 5]. Determine the y-coordinate of the point that intersects the line q with the y-axis. - Parametrically 82990
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0.
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