For each graph, find (a)AB to the nearest tenth and (b)the coordinates of the midpoint of AB.
1. Coordinates are A(-9, -6) B(6,6)
D=19.2 Midpoint=(1.5,-6)
2.A(-2,-2) B(8,-6)
D=10.77 midpoint= (3,-4)
3. A(0,3) B(-2,-2)
D=5.4 Midpoint= (-1,0.5)
a. Midpoint has to be in negative x retio, and y has to be zero. length to nearest tenth is not 19.
b. good midpoint, but length is is the sqrt(164) check that. notice you did NOT put the length to nearest tenth, (and it is wrong anyway)
c. Midpoint ok, length correct.
Wait. How do I correct 1 and 2?
I did correct #1. It's (-1.5,0) but, I still don't know the length. Can you help?
#2. How do I put it in correct form?
To find the distance between points A and B, you can use the distance formula:
(a) The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) represents the coordinates of point A, and (x2, y2) represents the coordinates of point B. Plug in the values for the coordinates in the formula and calculate the result using a calculator or by hand. Round the answer to the nearest tenth.
For example, for the first graph, A(-9, -6) and B(6, 6):
d = √((6 - (-9))^2 + (6 - (-6))^2)
= √(15^2 + 12^2)
= √(225 + 144)
= √369
≈ 19.2 (rounded to the nearest tenth)
Therefore, the distance AB to the nearest tenth is 19.2.
(b) To find the coordinates of the midpoint of AB, you can use the midpoint formula:
Midpoint = ( ((x1 + x2)/2), ((y1 + y2)/2) )
Again, plug in the values of the coordinates in the formula and calculate the result. The result will give you the coordinates of the midpoint.
For the first graph, A(-9, -6) and B(6, 6):
Midpoint = ( ((-9 + 6)/2), ((-6 + 6)/2) )
= ( (-3/2), (0/2) )
= (-1.5, 0)
Therefore, the coordinates of the midpoint of AB are (1.5, -6).