Answer:

Step-by-step explanation:
Standard form:

Vertex form:

(h, k) is the vertex
x is the coordinate of the vertex
To find x use the formula:


a=1
b=-2
c=-6
Substitute:

Substitute x in equation:

h=1
k=-7
Substitute h, and k into the vertex formula:

Answer:
Step-wwwkwnwby-step explanation:
Table C since it is decreasing at a constant rate of 5.
55 - 5 = 50
50 - 5 = 45
45 - 5 = 40
<u>Given</u>:
Given that the figure is a triangular prism.
The length of the prism is 4 m.
The base of the triangle is 2.5 m.
The height of the triangle is 2.25 m.
We need to determine the volume of the triangular prism.
<u>Volume of the triangular prism:</u>
The volume of the triangular prism can be determined using the formula,

where b is the base of the triangle,
h is the height of the triangle and
l is the length of the prism.
Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;



Thus, the volume of the triangular prism is 11.25 m³