5:45. If you add 3.45+2 it will give you 5.45 which you can convert the decimal into hour form
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Answer:
Find sin 2x, knowing tan x = -2, and cos x > 0
Ans:
sin
2
x
=
4
5
Explanation:
3 Trig identities to be used:
1
+
tan
2
x
=
1
cos
2
x
(1)
sin
2
x
+
cos
2
x
=
1
(2)
sin
2
x
=
2
sin
x
.
cos
x
(3)
Given tan x = -2. First find cos x and sin x
(1) -->
1
+
4
=
1
cos
2
x
-->
cos
2
x
=
1
5
-->
cos
x
=
±
1
√
5
.
Since cos x > 0, then
cos
x
=
1
√
5
.
(2) -->
sin
2
x
=
1
−
cos
2
x
=
1
−
1
5
=
4
5
-->
sin
x
=
±
2
√
5
.
Since cos x > 0 then
sin
x
=
2
√
5
.
(3) -->
sin
2
x
=
2
sin
x
.
cos
x
=
2
(
1
√
5
)
(
2
√
5
)
=
4
5
Answer link
The slope-intercept form of a line is:
y=mx+b, where m=slope and b=y-intercept (value of y when x=0)
First you must find the slope, or m value.
m=(y2-y1)/(x2-x1), which is the change in y divided by the change in x. In this case:
m=(5--3)/(-4--1)
m=(5+3)/(-4+1)
m=8/-3
m=-8/3
So far our line is:
y=-8x/3+b, we can now solve for the y-intercept, or b, using any point on the line, I'll use (-4,5):
5=-8(-4)/3+b
5=32/3+b
15/3=32/3+b
15/3-32/3=b
-17/3=b
So now we know the value for both terms in our line:
y=(-8x-17)/3
