Answer:
a
x
2
+
b
x
+
c
=
0
the two roots of the equation take the form
x
1
,
2
=
−
b
±
√
b
2
−
4
a
c
2
a
So, start by adding
−
5
to both sides of the equation to get
2
x
2
+
x
−
5
=
5
−
5
2
x
2
+
x
−
5
=
0
Notice that you have
a
=
2
,
b
=
1
, and
c
=
−
5
. This means that the two solutions will be
x
1
,
2
=
−
1
±
√
1
2
−
4
⋅
2
⋅
(
−
5
)
2
⋅
2
x
1
,
2
=
−
1
±
√
41
4
You can simplify this if you want to get
x
1
=
−
1
+
√
41
4
≅
1.35078
and
x
2
=
−
1
−
√
41
4
≅
−
1.85078
Answer:
B) -2
Step-by-step explanation:
I got the slope by using two points on the line (0,7) and (4,-1)
Slope=y2-y1/x2-x1
(7--1)/(0-4)
=
8/-4
I then simplified 8/-4 to -2
You could also solve by finding the rise over run for two points on the line.
The rise is 2 and the run is -1, making it 2/-1 or -2
Answer:
SAS
Step-by-step explanation:
JK is congruent to LM (given)
L is midpoint of JN (given)
JL is congruent to LN (definition of midpoint)
JK is parallel to LM (given)
Angle LJK is congruent to Angle NLM (corresponding angles)
Answer:
5/4
Step-by-step explanation:
10/8 = 5/4
15/12 = 5/4
25/20 = 5/4
They all simplify to 5/4.
Hope this helps!
