Answer:
Answer:
See the graph attached. The red arrow represents the shaded area.
Explanation:
The inequality and its solution are given:
The solution set is all real numbers less than or equal to -50.
In a number line, the values less than -50 are all the values that are to the left of -50. Thus, the graph of a ≤ -50 must include -50 and the region to the left of it.
To indicate that - 50 is included, draw a solid point; then, shade the region since it to its left.
Please, see the graph attached. The red arrow represents the shaded area.
Step-by-step explanation:
Answer: B !
Step-by-step explanation:
For the case of a line through
(
2
,
7
)
and
(
1
,
−
4
)
we have
slope
m
=
Δ
y
Δ
x
=
−
4
−
7
1
−
2
=
−
11
−
1
=
11
Using the point
(
2
,
7
)
we can write the equation of the line in point slope form as:
y
−
7
=
m
(
x
−
2
)
where the slope
m
=
11
.
That is:
y
−
7
=
11
(
x
−
2
)
To get point intercept form, first expand the right hand side so...
y
−
7
=
11
x
−
(
11
⋅
2
)
=
11
x
−
22
Then add
7
to both sides to get:
y
=
11
x
−
15
=
11
x
+
(
−
15
)
This is point intercept (
y
=
m
x
+
c
) form with slope
m
=
11
and intercept
c
=
−
15
.
Y=Acos(p)+m, A=amplitude, p=period, m=midline, in this case:
A=1/2, p=360(t/12)=30t, m=(10-9)/2+9=9.5 so
h(t)=(1/2)cos(30t)+9.5
The answer is 137° because supplementary means the 2 angles must equal 180°