Answer:
4
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3) * π * r³. Knowing this, we can plug in the radius:

The sphere's volume is approximately 2144.66 mm^3.
Y = 162 - x would be the equation for the lower data set.
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
Answer:
The turning point of a parabola is the vertex
Vertex form of a quadratic equation: 
(where (h, k) is the vertex and a is the coefficient of the variable x²)
Given:

- vertex = (-1, 3)
Therefore, a = 1
Substituting a = 1 and the given vertex into the equation:




Therefore, a = 2 and b = 4