Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.
To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
x = [ -7 ± √(229) ] / ( -10)
x = [ -7 ± sqrt(229) ] / ( -10 )
x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
The formula for the volume of a sphere is
. Plugging in 4.7 for your radius, we get
, which is roughly 29.453π≈92.530.
You have to use distributive property then you combine like terms
Answer:
Step-by-step explanation:
y + 6 = -2/3(x + 1)
y + 6= -2/3x - 2/3
y + 18/3 = -2/3x - 2/3
y = -2/3x - 20/3
