This form (x+b)²+c is a vertex form that can be found by completing square for the equation <span>x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
</span> x²+440x+440²,
<span>x² +2*220²x +220² -220² +440² (we added </span>220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)<span>
</span>(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.
<em>Complete Question:</em>
<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>
<em>The initial heights are shown. </em>
Write a system of linear equations that represents this situation.
Answer:


Step-by-step explanation:
Given
Spruce Tree (s):

(yearly)
Hemlock Tree (h):

(yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:

For Spruce Tree (s):


For Hemlock Tree (h):


<em>Hence, the equations are </em>
<em> and </em>
<em></em>
Answer:
0 is part of the confidence interval, which means that there is not convincing evidence that the two population proportions are different.
Step-by-step explanation:
Based on a confidence interval for the difference of proportions, there will be significant evidence that the proportions are different if 0 is not part of the confidence interval for the difference of proportions.
In this question:
Confidence interval between -0.036 and 0.154
0 is part of the confidence interval, which means that there is not convincing evidence that the two population proportions are different.
True false false true divided 4626÷340=13.605882353
Hi there!
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I believe your answer is:
MN = 66
x = 5
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Here’s why:
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- A midpoint separates a line segment into two congruent parts.
- Knowing that one half of the line segment, LN, measures 33, we can double it to get 66, the whole measurement of the segment.
MN = 66
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The value of 'x' is equal to 5.
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The equation was the measurements of both sides set equal to each other.
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Hope this helps you. I apologize if it’s incorrect.