Step-by-step explanation:
As the vertex (−2,5) and focus (−2,6) share same abscissa i.e. −2, parabola has axis of symmetry as x=−2 or x+2=0
Hence, equation of parabola is of the type (y−k)=a(x−h)2, where (h,k) is vertex. Its focus then is (h,k+14a)
As vertex is given to be (−2,5), the equation of parabola is
y−5=a(x+2)2
as vertex is (−2,5) and parabola passes through vertex.
and its focus is (−2,5+14a)
Therefore 5+14a=6 or 14a=1 i.e. a=14
and equation of parabola is y−5=14(x+2)2
or 4y−20=(x+2)2=x2+4x+4
or 4y=x2+4x+24
R = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volumn of the cone is (1/3)Pi(1/4)(r^2)r = (1/12)Pi r^3
Answer:
-3
Step-by-step explanation:
(
Plug in values into the given equation
Simplify
In order to solve for x, we must isolate it on one side of the inequality.
2x + 4 ≥ 24
The first step we will take is subtract 4 from both sides, since it is being added on the side with the variable.
<span>2x + 4 ≥ 24
</span> - 4 - 4
And the inequality now is
2x ≥ 20
Now, all we have to do is divide both sides by 2, since the variable is being multiplied by 2.
2x ≥ 20
/2 /2
And the final inequality is
x <span>≥ 10
Hope that helped! =)</span>
