Answer:
85º
Step-by-step explanation:
<7=<4 since we know the lines are parallel, and intersected at the same angle
Therefore, <7=85º.
Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
Equation of a line;
y=mx+c
m=5
y=5x+c
Replacing for x and y using point (-2, -1)
-1=5(-2)+c
-1=-10+c
c=-1+10
c=9
y=5x+9
Answer:
oh sorry i dont know that im grade six sorry
Answer:
1/4 - (2/5 + (1/3 - (3 - 7/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 - (6/2 - 7/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 - (-1/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 + 1/2 - 1/4) - 2/15)
= 1/4 - (2/5 + (4/12 + 6/12 - 3/12) - 2/15)
= 1/4 - (2/5 + (7/12) - 2/15)
= 1/4 - (2/5 + 7/12 - 2/15)
= 1/4 - (24/60 + 35/60 - 8/60)
= 1/4 - (51/60)
= 15/60 - 51/60
= -36/60
= -3/5
