( -2 + 8 , 5 + -12 )
2
2
( 3 , -3.5)
x1
2
2
( 1.85 , -5.4)
y1
A( 3 , -4)
x2
( 2.5+ -6.2 , -7 + -3.8 )
y2
B(13,11)
x-coordinate : Δx (p) + x1
(13-3) 7 + 3 = 10
10
y-coordinate : Δy (p) + y1
(11- -4) 7 +-4 = 6.5
10
point ( 10 , 6.5)
x1
y1
B(13 , 11)
x2
y2
A( 3, -4)
x-coordinate : Δx (p) + x1
(3-13) 4 + 13 = 5
5
y-coordinate : Δy (p) + y1
(-4- 11) 4 + 11 = -1
5
point ( 5 , -1)
shotstop ( 5, 10)
Baseman(10,0)
_______________
D = ( x2 - x1)2 + ( y2- y1)2
_______________
______________
2
2
D = ( 10 - 5) + ( 0- 10)
= 25 + 100 =
1 unit = 9 ft
11.2 units =??? ft
11.2 x 9 = 100.8 ft
______
125 = 11.2
midpoint = ( x1+x2 , y1+y2 )
2
2
midpoint = ( x1+x2 , y1+y2 )
2
2
MP = ( -1 , -0.5)
(7--5) 2 + -5 = 3
3
(-5 - 4) 2 + 4 = -2
3
Point ( 3, -2)
midpoint = ( x1+x2 , y1+y2 )
2
2
M ( -1 , 6)
she added x and y values for
each point
P
M
_______ ____
D= 144 + 81 = 225 = 15
Q
B(6,5)
C(12,4)
A(0,3)
D(18,2)
PM = 1 PQ
2
PM = PQ
__________
____
Distance (A-B) = 36 + 4 = 40 = 6.3
__________
Distance (B-C) = 36 + 1 =
__________
Distance (C-D) = 36 + 4 =
____
37 = 6
____
40 = 6.3
Total distance = 6.3 + 6 + 6.3 = 18.4 units
18.6 x 10 = 186 ft
-4( 1 ) + 4 = 3
4
-2( 1 ) + -5 = -5.5
4
K ( 3 ,-5.5 )
x-coordinate = x1+x2
2
3 = b+1 + 2a
2
6 = b + 1 + 2a
5 = b + 2a
b = 5- 2a
y-coordinate = y1+y2
2
5 = a+2 + 3b+3
2
10 -5 = a +3b
5 = a + 3b
5 = a + 3(5-2a)
5 = a + 15 - 6a
5a = 10
a=2
Assume point Q is ( a , b)
x-coordinate = x1+x2
2
2=0+a
2
4=a
midpoint = ( x1+x2 , y1+y2 )
2
2
= ( -5 , 1 )
2 2
y-coordinate = y1+y2
2
5= 0+b
2
10 = b
P ( 0, 0)
Q ( x2 ,y2)
2 = 1 x2 + 0
4
8 = x2
So Q ( 8 , 20 )
5 = 1 y2 + 0
4
20 = y2
x5
x5
x2
x2
x3
x3
x4
x4
1 , 3 5 )
( 1 15
12
(12--4) 3 + -4 = 4.8 - 4 = 0.8
10
(5--7) 3 + -7 = 3.6 - 7 = -3.4
10
(20,35)
Point ( 0.8 , -3.4 )
x1 y1
(45,20)
B (12, 5)
x2
y2
A(-4, -7)
(-4 - 12 ) 1 + 12 = -4 + 12 = 8
4
(-7 - 5 ) 1 + 5 = -3 + 5 = 2
4
Point ( 8 , 2 )
( x +2 x y +2 y )
1
2
,
1
2
( 1 , 9)
2
(-0.3 , 3.25)
______________
2
2
D= (45-20) + (20-35)
________ ____
= 625 + 225 = 850
29.1