Answer:
is awnser is 1
Step-by-step explanation:
(0,6)
parallel lines have the same slope (-1/3 in this case) so the equations will have the same slope
the line y=-1/3x+6 passes through (3,5)
any point on that line is a valid answer but for an example (0,6) which is the y-intercept
Answer:
56 + 23 + (-5)
you want to expand the bracket first
23 + (-5)
23-5 = 18
56 + 18 = 74
a) 74
6 + 24 + (-2)
24 - 2= 22
6 + 22 = 28
b) 28
3 + 7 + (-42)
7 - 42 = -35
3 - 35 = -32
c)-32
( 8 + 1 ) + (-3)
+(-3) = -3
9 - 3 = 6
d)6
( 7 + 10 ) + ( 3 + 1 )
17 + 4 = 21
e)21
59 + 2+ (-6)
2+(-6) = 2-6 = -4
59-4
55
f)55
41 + ( -89)
41 - 89
= - 48
g)-48
( - 13) + 33
-13+33
= 20
h) 20
Answer:
The solutions on the given interval are :




Step-by-step explanation:
We will need the double angle identity
.
Let's begin:

Use double angle identity mentioned on left hand side:

Simplify a little bit on left side:

Subtract
on both sides:

Factor left hand side:
![\sin(x)[4\cos(x)-1]=0](https://tex.z-dn.net/?f=%5Csin%28x%29%5B4%5Ccos%28x%29-1%5D%3D0)
Set both factors equal to 0 because at least of them has to be 0 in order for the equation to be true:

The first is easy what angles
are
-coordinates on the unit circle 0. That happens at
and
on the given range of
(this
is not be confused with the
-coordinate).
Now let's look at the second equation:

Isolate
.
Add 1 on both sides:

Divide both sides by 4:

This is not as easy as finding on the unit circle.
We know
will render us a value between
and
.
So one solution on the given interval for x is
.
We know cosine function is even.
So an equivalent equation is:

Apply
to both sides:

Multiply both sides by -1:

This going to be negative in the 4th quadrant but if we wrap around the unit circle,
, we will get an answer between
and
.
So the solutions on the given interval are :



