Answer:
x = - 8
Step-by-step explanation:
Calculate m using the slope formula and equate, since parallel lines have equal slopes.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)
m = 
= 
and equating
= 
( cross- multiply )
9(x + 4) = - 36 ( divide both sides by 9 )
x + 4 = - 4 ( subtract 4 from both sides )
x = - 8
Answer:
Step-by-step explanation:
What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?
Center (3.5); Radius 4
Center (-3,-5); Radius 4
O Center (3,5); Radius 16
O Center (3.5); Radius 10
x² + y²+ 6x + 10y + 18 = 0
x² + 6x + y² + 10y = -18
x² + 6x + 9 + y² + 10y + 25 = -18 + 6 + 9
x² + 3x + 3x + 9 + y² + 5y + 5y + 25 = -3
The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).
To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.
30. Set up a proportion of 6/2 and x/10. cross multiply 6 times 10 and you get 60. divide 60 by 2=30
