0
What are the values of a and b if 6 3 is the midpoint of the line joining 2a comma 2a-b to a-2b comma 4a plus 3b?
Wiki User
∙ 11y ago
6 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b
3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2b
Adding the two equations gives: 18 = 9a so that a = 2
Substituting for a in the first gives 12 = 6 - 2b so that b = -3
6 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b
3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2b
Adding the two equations gives: 18 = 9a so that a = 2
Substituting for a in the first gives 12 = 6 - 2b so that b = -3
6 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b
3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2b
Adding the two equations gives: 18 = 9a so that a = 2
Substituting for a in the first gives 12 = 6 - 2b so that b = -3
6 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b
3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2b
Adding the two equations gives: 18 = 9a so that a = 2
Substituting for a in the first gives 12 = 6 - 2b so that b = -3
Wiki User
∙ 11y ago
Wiki User
∙ 11y ago6 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b
3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2b
Adding the two equations gives: 18 = 9a so that a = 2
Substituting for a in the first gives 12 = 6 - 2b so that b = -3
Add your answer:
Earn +20 pts
Can you find the mid-point of a line explain?
You can't find the midpoint of a general line as a general line is infinitely long. However you can find the midpoint of a Pacific line between two points add up the x values divide by 2. Add up the y values divide by 2. That is the coordinate of the midpoint of a Pacific line.
How can you find the line of reflection if you know the images of some points?
Draw a line joining a point and its image and find its midpoint. Repeat for another pair of point and its image. The line joining these midpoints is the line of reflection.
What is the equation of the straight line from the origin to the midpoint of the line joining 3 2 and 5 -1?
It will have no y intercept and it is: y = 0.125x
What is point M corresponds to one-half the sum of the coordinates of E and A?
It is the midpoint of the straight line joining E and A.
Name a 2d shape with 1 line of symmertry?
== == An isosceles triangle with sides 5, 5, 3. The only line of symmetry is the line joining the midpoint of the side of 3 units to its opposite vertex.
What is the midpoint of the line joining the points (3, 2) and (1, 4)?
The midpoint is (2,3)
How many midpoints does a line segment contain?
it depends on how long or how many joining segments it has. normally one line segment contains only one midpoint. Unless it has a joining segment there is only one midpoint.
How do I find the midpoint of the line segment joining the points (-1,3) and (-9,8)?
85
A line segment whose endpoints are the vertex of the triangle and midpoint of the opposite?
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side.
What is the length and midpoint of the line segment joining the points of -6 1 and 6 6?
Length = 13 units Midpoint = (0, 3.5)
Can you find the mid-point of a line explain?
You can't find the midpoint of a general line as a general line is infinitely long. However you can find the midpoint of a Pacific line between two points add up the x values divide by 2. Add up the y values divide by 2. That is the coordinate of the midpoint of a Pacific line.
How can you find the line of reflection if you know the images of some points?
Draw a line joining a point and its image and find its midpoint. Repeat for another pair of point and its image. The line joining these midpoints is the line of reflection.
What is the equation of the straight line from the origin to the midpoint of the line joining 3 2 and 5 -1?
It will have no y intercept and it is: y = 0.125x
What is point M corresponds to one-half the sum of the coordinates of E and A?
It is the midpoint of the straight line joining E and A.
What is the history of midpoint theorem?
the line segment joining the mid point of two sides it is parallel and half of third side the line segment joining the mid point of two sides it is parallel and half of third side
What are the values of a and b when y plus 4x equals 11 is the perpendicular bisector of the line joining a 2 to 6 b showing workings?
They must be equidistant from the point of bisection which is their midpoint and works out that a = -2 and b = 4 Sketching the equations on the Cartesian plane will also help you in determining their values
What is a midpoint in coordinates?
Mid Point Definition: The point halfway between the endpoints of a line segment is called the midpoint. A midpoint divides a line segment into two equal parts. Mid Point Formula: MidPoint where (x1, y1) (x2, y2) be the end points of a line segment. MidPoint Diagram Mid Point Example: Find the coordinates of the midpoint of the line joining (-1, -3), (-5, -7). x1 = -1, y1 = -3 and x2 = -5, y2 = -7 Substitute in the formula as : The above example will clearly illustrates how to calculate the Coordinates of MidPoint manually.
