Answer:
a) Vertex:
b) Vertex:
Step-by-step explanation:
First we need to realize that these equations are the equations of parabolas.
the equation of parabola are generally written as:
where the vertex is the point . <u>(note that the sign of 'h' is changed!)</u>
<u>(also note that the value of 'a' doesn't matter for finding vertex point)</u>
given this information we can now easily find out the vertex of both parabolas
a)
by comparing it with the general equation above, we can see that -5 is in the place of '-h' and +3.5 is in the place of '+k'
we can write
and solve for h.
similarly,
hence the vertex of this graph is
b)
by comparing it with the general equation above, we can see that +1 is in the place of '-h' and -8 is in the place of '+k'
we can write
and solve for h.
similarly,
hence the vertex of this graph is
Volume of the cone is 100 m³
Step-by-step explanation:
- Step 1: Find the volume of the cone with radius = 3 m and height = 7 m
Volume = 1/3 πr²h
= 1/3 × 3.14 × 3² × 7
= 3.14 × 21 = 65.94 ≈ 100 m³ (rounded off to nearest hundredth)
A quantity that may change