<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).
m=(4-2)/(2-(-3))
= 2/5
Therefore the slope is 2/5.
Volume = (1/3) * base area * height
= 1/3 * 24 * 18
= 144 ft^3
Answer : 24
Explanation : As the attachment when referred for finding the number of patients registered. we have to just count the right integer part of the given plot.
As the plot describes the temperature of the patients on the left side and the number of times it was repeated.
So, the number of values is given by the number of leaves, one has to simply have to count the digits that are there on the right part of the plot
Which comes to the count of 24.
Answer: i think 2 feet, not really sure tho ':)
Step-by-step explanation: