The line contains the point (-4,-4) and is perpendicular to a line with a slope of 5/2 . The equation is this line is ?

2x + 5y + 28 = 0

Step-by-step explanation:

since they are perpendicular,

m1 ×m2 = -1

5/2 × m2 = -1

m2 = -2/5

now,

y -y1 = M (x-x1)

y - (-4) = -2/5 ( x - (-4) )

y +4 = -2/5 ( x + 4 )

5 ( y +4 ) = -2 ( x+4)

5y +20 = -2x - 8

2x + 5y +20 + 8 =0

2x + 5y + 28 = 0

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2