Answer:
y = (2/3)x - 1, slope-intercept form
Step-by-step explanation:
3x + 2y = - 8
2y = -3x - 8
y = (-3/2) x - 4
Slope of this line is -3/2.
For the perpendicular line slope is 2/3.
Point - slope form is
(y - y1) = m(x - x1)
Point is (3,1). Slope m = 2/3.
y - 1 = (2/3)*(x - 3)
y - 1 = (2/3)x - 2
y = (2/3)x - 1, slope-intercept form
We'll use the following properties of sine and cosine to prove this:



Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16
Answer:
72
Step-by-step explanation:
2*-5=-10
-10*-6=60
60-(-12)=60+12=72
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
The measurement of the external angle is the half-difference of the arches that comprise
so

Remember that the sum of the major arc and a minor arc is equal to 360 degrees
we have
----> is given
so

substitute the values

Answer:
3t+8
Step-by-step explanation: