When the endpoints of a line segment are known, we can find the point midway between them. This point is known as the midpoint and the formula is known as the
midpoint formula . Given the endpoints of a line segment,
and
the midpoint formula states how to find the coordinates of the midpoint
A graphical view of a midpoint is shown in
[link] . Notice that the line segments on either side of the midpoint are congruent.
Finding the midpoint of the line segment
Find the midpoint of the line segment with the endpoints
and
Use the formula to find the midpoint of the line segment.
We can locate, or plot, points in the Cartesian coordinate system using ordered pairs, which are defined as displacement from the
x- axis and displacement from the
y- axis. See
[link] .
An equation can be graphed in the plane by creating a table of values and plotting points. See
[link].
Using a graphing calculator or a computer program makes graphing equations faster and more accurate. Equations usually have to be entered in the form
y= _____. See
[link].
Finding the
x- and
y- intercepts can define the graph of a line. These are the points where the graph crosses the axes. See
[link] .
The distance formula is derived from the Pythagorean Theorem and is used to find the length of a line segment. See
[link] and
[link] .
The midpoint formula provides a method of finding the coordinates of the midpoint dividing the sum of the
x -coordinates and the sum of the
y -coordinates of the endpoints by 2. See
[link] and
[link] .
Section exercises
Verbal
Is it possible for a point plotted in the Cartesian coordinate system to not lie in one of the four quadrants? Explain.
Answers may vary. Yes. It is possible for a point to be on the
x -axis or on the
y -axis and therefore is considered to NOT be in one of the quadrants.
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you.
Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
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