Equation + analytic geometry - practice problems
Number of problems found: 110
- Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri - Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4. - LS and y-axis intersection In what ratio is the line segment joining P (5, 3) and Q (–5, 3) divided by the y-axis? Also, find the coordinates of the intersection point.
- 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 of line points
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? - 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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