Answer:
y=-2/3x-13/3
Step-by-step explanation:
parralel line have the same gradient
y=mx+c is the general straight line equation
m represents the gradient
if the equation is y=-2/3x+3/2
m=-2/3
the coordinates (4,-7)
x=4
y=-7
substitute into equation
-7=-2/3×4+c
-7=-8/3+c
c=-7+8/3
c=-13/3
so the equation is :
y=-2/3x-13/3
1.
In any trapezoid, the length of the midsegment is

substituting the known values:



2.
Notice that since D and have the same y-coordinate, then DE is horizontal, and since F and D have the same x-coordinate, FD is vertical.
Thus FD and DE are perpendicular, so the triangle FED is a right triangle.
The median drawn from the right angle, is equal to half the hypotenuse.
That is, |DO|=1/2 |FE|, thus |OE|=|OF|=|OD|, are all radii of the circle centered at O.
O is the midpoint of EF, and is found by the Midpoint formula:

Answer:
1. 14
2. (4, 3)
2
√
5
,
8
and
√
58
Explanation:
given a complex number
x
+
y
i
then the absolute value is
∙
x
|
x
+
y
i
|
=
√
x
2
+
y
2
4
+
2
i
has
x
=
4
and
y
=
2
⇒
|
4
+
2
i
|
=
√
4
2
+
2
2
=
√
20
=
2
√
5
8
i
has
x
=
0
and
y
=
8
⇒
|
8
i
|
=
√
0
2
+
8
2
=
8
−
3
+
7
i
has
x
=
−
3
and
y
=
7
⇒
|
−
3
+
7
i
|
=
√
(
−
3
)
2
+
7
2
=
√
58