The given coordinates are:
p1: (12,4) and p2: (-8,8)
Th x coordinate of the midpoint is calculated as follows:
Xmidpoint = (x1+x2) / 2 = (12+-8) / 2 = 4/2 = 2
The y coordinate of the midpoint is calculated as follows:
Ymidpoint = (y1+y2) / 2 = (4+8) / 2 = 12/2 = 6
Based on the above calculations, the midpoint of the segment with the given coordinates is (2,6)
in about 5 weeks you will lose 17 pounds
and she will be 42 pounds
(
)we need 3 equations
1. midpoint equation which is (
) when you have 2 points
2. distance formula which is D=
3. area of trapezoid formula whhic is (b1+b2) times 1/2 times height
so
x is midpoint of B and C
B=11,10
c=19,6
x1=11
y1=10
x2=19
y2=6
midpoint=(
)
midpoint=(
)
midpoint= (15,8)
point x=(15,8)
y is midpoint of A and D
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
midpoint=(
)
midpoint=(
)
midpoint=(13,4)
Y=(13,4)
legnths of BC and XY
B=(11,10)
C=(19,6)
x1=11
y1=10
x2=19
y2=6
D=
D=
D=
D=
D=
BC=
X=15,8
Y=(13,4)
x1=15
y1=8
x2=13
y2=4
D=
D=
D=
D=
D=
XY=
the thingummy is a trapezoid
we need to find AD and BC and XY
we already know that BC=
and XY=
AD distance
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
D=
D=
D=
D=
D=
AD=
so we have
AD=
BC=
XY=
AD and BC are base1 and base 2
XY=height
so
(b1+b2) times 1/2 times height
(
) times 1/2 times
=
(
) times \sqrt{5} [/tex] =
=
=80
=252.982
X=(15,8)
Y=(13,4)
BC=
XY=
Area=80
square unit or 252.982 square units