Line - practice problems
Number of problems found: 562
- Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0 - 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 - Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm - A baseball
A baseball is hit over the 325 foot fence, which is 110 feet tall. How far did the ball carry on a straight line when it reached the fence?
- Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) . - Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4. - Temperature bellow zero
At 3 PM, the temperature was 12 F. It then began dropping 2 F every hour for 7 hours. What was the temperature after 7 hours? - Two points M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN.
- Freezing A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C per hour.What will be the room temperature 12 hours after the process begins?
- Two vertically
Two vertically opposite angles are (x-20)° and 85°; then, find the value of x. - 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.
- The co-ordinates
The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are - Midpoint 11 Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work.
- PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
- Complement and supplement
Find the measure of an angle if 7 times its complement is 10° less than 3 times its supplement. - Four points
There are 4 nonlinear points. How many triangles can form by joining them? - Line segments
There are three line segments on the line: the length of MN = 3 1/2, the length of NO= 2 3/4, and the length of OP=1 2/3. Find the length of line segment MP. Write your answer as a mixed number. - Overtime and salary
An employee earns R150 per hour, and the agreed normal working hours are 45 hours per week. Overtime is paid at 1 1/2 of the normal rate. Suppose Dave works 52 hrs during the first week of March. What will the total earnings for that particular week be? - Human population The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000. What is the difference in the populations of the towns when t=4?
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