We know 
in the graph two points
point 1 (2,1)  and point 2 (-1,-4)
the equation in point-slope form is ----------------> (y-y1)=m(x-x1)
step 1
find the value of m
m=(y2-y1)/(x2-x1)----------> (-4-1)/(-1-2)--------> m=5/3
step 2
with the point (-1,-4)  and m=5/3
find the equation in point-slope form
(y-(-4))=(5/3)*(x-(-1))-------------> (y+4)=(5/3)(x+1)
the answer is the option d) ( y+ 4 ) =+ 5/3 ( x + 1 )
        
             
        
        
        
Answer:
radius of the sphere (r) = 21 units
Step-by-step explanation:
here's the solution : - 
=》

=》

( pi cancel out )
=》

=》

 
        
             
        
        
        
Answer:
Below in bold.
Step-by-step explanation:
sin 66.4 = opposite side / hypotenuse
sin 66.4 = 21.3 / y
y = 21.3 / sin 66.4
y = 23.24.
tan 66.4 = 21.3 / x
x = 21.3 / tan 66.4
x = 9.31.
 
        
             
        
        
        
A:
(f+g)(x)=f(x)+g(x)
(f+g)(x)=4x-5+3x+9
(f+g)(x)=7x+4
B:
(f•g)(x)=f(x)•g(x)
(f•g)(x)=(4x-5)(3x+9)
(f•g)(x)=12x^2-15x+36x-45
(f•g)(x)=12x^2+21x-45
C:
(f○g)(x)=f(g(x))
(f○g)(x)=4(3x+9)-5
(f○g)(x)=12x+36-5
(f○g)(x)=12x+31
        
             
        
        
        
Answer:
7 and 5
Step-by-step explanation:
7+5=12 and 7-5=2