Wednesday
November 26, 2014

Homework Help: Algebra--please help!

Posted by Celina on Wednesday, December 17, 2008 at 5:07pm.

Here are some more questions I'm having trouble with. Please walk me through them so I can fully understand them.

#2: Let A be (5,9), B be (-3,-5), and C be (1,1). The median of a triangle connects a vertex of a triangle to the midpoint of the opposite side. *Another note: would you be able to explain the median of a triangle more fully? I don't get what my teacher meant by the midpoint on the other side* For example, the median of triangle ABC from vertex A connects A to the midpoint of line segment BC (I still don't understand it).

a. Find an equation describing the line that contains the median from A to the midpoint of line segment BC.
b. Find an equation describing the line that contains the median from B to the midpointof line segment AC.
c. What point (x,y) is on both of the lines you found in parts a and b (I might be able to figure this out if you explain a and b well).
d. Find an equation describing the line that contains the median A to the midpoint of line segment AB.

#3: A line with slope 3 intersects with slope 5 at the point (10,15). What is the distance between the x-intercepts of these two lines?

#4: Jon begins jogging at a steady 3 m/sec down the middle of lane one in one of a public track. Laura starts even with him in the center of lane two but moves at 4m/sec. At the instant they begin, Ellis is located 100 meters down the track in lane four and is heading towards them in his lane at 6m/sec. After how many seconds will the runners lie in a straight line?
a. Let t be the number of seconds the three have been running. Write expressions for the number of meters each has run after t seconds.
b. Consider the location of each runner as a point on a graph. What quantity might you use as the x-coordinate? What quantity might you use as the y-coordinate?
c. How can you tell if the three points are on a line? Use this to solve the problem.

Please explain this very thoroughly so I can completely understand it. I am only in 7th grade algebra so there are a lot of terms I still don't understand.

Thank you so much!

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