Answer:
The vertex is (-1, -4)
Step-by-step explanation:
Let's find the vertex by completing the square of y= -x^2 - 2x - 5.
Isolate the first two terms inside parentheses: y= -(x^2 + 2x) - 5
Now complete the square of the expression inside these parentheses:
y = -(x^2 + 2x + 1 - 1) - 5
and rewrite this as
y = -(x + 1)^2 + 1 - 5, or
y = -(x + 1)^2 - 4
(x + 1) tells us that the x-coordinate of the vertex, h, is -1, and the -4 term tells us that the y-coordinate, k, is -4.
The vertex is (-1, -4)
the volume of the hexagonal prism is 184. 75 cm^3
<h3>How to determine the volume of the hexagonal prism</h3>
It is important to note that the volume of a hexagonal prism is given as;
V = (2/√3) × ap2 × h
Where
- ap is the apothem
- h is the height of the prism
From the information given, we have the values of the following parameters;
height = 10cm
apothem = 4cm
base edge = 6cm
Now, let's substitute the value of the parameters
Volume = (2/√3) × ap^2 × h
Volume = 2/√3 × 4^2 × 10
Multiply through
Volume = 1. 1547 × 16 × 10
Volume = 184. 75 cm^3
Thus, the volume of the hexagonal prism is 184. 75 cm^3
Learn more about a hexagonal prism here:
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Answer:
5m squared
Step-by-step explanation:
(m)(5m) = 5m^2
Answer:
$4.75 per 18oz
Step-by-step explanation:
To calculate the better deal we need to find the price per oz.
To find the price per oz for $4.75 per 18oz, we divide by 18.
$4.75/18 = $0.26 per oz
Now lets find the price per oz for $11.29 per 40oz
To find the price per oz for $11.29 per 40oz, we divide by 40.
$11.29/40 = $0.28
So the better deal is the 1st deal of $4.75 per 18oz.