How do you do this?
AB has endpoints A(-3,2) B(3, -2)
Find the coordinates of the midpoint of AB.
Find AB to the nearest tenth.
The mid-point has coordinates which are the averages of those of A and B:
M((-3+3)/2, (2-2)/2)
or
M(0,0)
The length of a segment is obtained by summing the squares of the difference of coordinates, and then take square-root, namely
D(AB)=sqrt((x2-x1)^2+(y2-y1)^2)
=sqrt((3-(-3))^2+(-2-2)^2)
=sqrt(36+4)
=sqrt(40)
=2sqrt(10)
To find the coordinates of the midpoint of AB, you need to find the average of the x-coordinates and the average of the y-coordinates.
Step 1: Find the average of the x-coordinates.
x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2
x-coordinate of midpoint = (-3 + 3) / 2
x-coordinate of midpoint = 0 / 2
x-coordinate of midpoint = 0
Step 2: Find the average of the y-coordinates.
y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2
y-coordinate of midpoint = (2 + (-2)) / 2
y-coordinate of midpoint = 0 / 2
y-coordinate of midpoint = 0
Therefore, the coordinates of the midpoint of AB are (0, 0).
To find AB to the nearest tenth, you can use the distance formula.
Step 1: Find the difference in the x-coordinates.
Δx = x-coordinate of B - x-coordinate of A
Δx = 3 - (-3)
Δx = 3 + 3
Δx = 6
Step 2: Find the difference in the y-coordinates.
Δy = y-coordinate of B - y-coordinate of A
Δy = (-2) - 2
Δy = -4
Step 3: Find AB using the distance formula.
AB = √(Δx^2 + Δy^2)
AB = √(6^2 + (-4)^2)
AB = √(36 + 16)
AB = √52
AB ≈ 7.2 (rounded to the nearest tenth)
Therefore, the distance AB between the points A and B is approximately 7.2 units.
To find the midpoint of a line segment with given endpoints, you can use the midpoint formula.
The midpoint formula is as follows:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Let's apply this formula to find the midpoint of AB.
Given endpoints: A(-3, 2) and B(3, -2)
Using the formula, we can calculate the midpoint as follows:
Midpoint = ((-3 + 3) / 2, (2 + -2) / 2)
= (0 / 2, 0 / 2)
= (0, 0)
Therefore, the coordinates of the midpoint of AB are (0, 0).
To find the length of AB to the nearest tenth, we can use the distance formula.
The distance formula is as follows:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's apply this formula to find the length of AB.
Given endpoints: A(-3, 2) and B(3, -2)
Using the formula, we can calculate the length of AB as follows:
Distance = √[(3 - (-3))^2 + (-2 - 2)^2]
= √[(6)^2 + (-4)^2]
= √[36 + 16]
= √52
≈ 7.2 (rounded to the nearest tenth)
Therefore, the length of AB to the nearest tenth is 7.2.