A function with zeroes at z1 and z2 can be factored into form
f(x)=a(x-z1)(x-z2)
where a is a constant
so
it is
f(x)=a(x-(-4))(x-2) or
f(x)=a(x+4)(x-2)
Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is
while the area of the circle 
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 ×
× 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be
× 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
Surface area of a sphere = 4πr^2
4πr^2=100π
Divide both sides by 4π
r^2=100
r=10
The radius is 10 cm.
Divide the 24 by Ben's 12 .
If his 12 is a factor, then the division will come out even,
and the answer will be a whole number.
A). 6 x 4 = 24
B). 5 x 9 = 45
C). 3 x 8 = 24
D). 6 x 9 = 54