Analytic geometry - practice problems - page 2 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
- Point 9
Point A has coordinates (3, 3). Point A moves 5 units to the left and 4 units down to a new point B. (a) Write down the coordinates of point B. (b) Which quadrant is point B in? - 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
- Sarah 4 Sarah and Jamal were learning partners in math class and were working independently. They each started at the point (−2, 5) and moved 3 units vertically in the plane. Each student arrived at a different endpoint. How is this possible? Explain and list the
- The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex? - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR? - A linear A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
- Line segment Find the length of the line joining points A(-4,8) and B(-1,4).
- 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| - At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall? - Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i
- Slope of line What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)?
- Coordinates 83482
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line? - Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - 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.
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