Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given

Solving (a): The vertex
For an equation written in

The vertex is:

By comparison:
and 

So, the vertex is:

Solving (b): The axis of symmetry
For an equation written in

The axis of symmetry is:
x = h
In (a):

So:

Answer:
about 5.22hrs
Step-by-step explanation:
cross multiply
<u>120.45</u> <u>?</u>
15.67 40.15
120.45*40.15
=629.1505
629.1505/15.67
=5.2233333...
Answer:
D
Step-by-step explanation:
Factors B, C and E are totally irrelevant.
The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.
In order to find this, we'll start with the base form of point-slope form.
y - y1 = m(x - x1) ----> Plug in the numbers
y - 8 = 4(x - -6) ----> Simplify
y - 8 = 4(x + 6)
Now to find slope intercept form, solve for y.
y - 8 = 4(x + 6) ----> distribute the 4
y - 8 = 4x + 24 -----> add 8 to both sides
y = 4x + 32
Given:
The radius of the cone = 14 ft
The slant height of the cone = 27 ft
To find the lateral surface area and the total surface area of the given cone.
Formula
The lateral surface area of the cone is
and
The total surface area of the cone is

where,
r be the radius and
l be the slant height of the cone.
Now
Taking r = 14 and l = 27 we get
sq ft
or,
sq ft
Again,
sq ft
or,
sq ft
Hence,
The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.