This polynomial does not factor so you have to complete the square or use Quadratic formula.
x^2 + 6x + 7 = 0
Using completing the square, subtract 7 from both sides.
x^2 + 6x = -7
divide 6 by 2 = 3, square 3 = 9, add 9 to both sides.
x^2 + 6x + 9 = 2
(x + 3)^2 = 2
Take the sqrt of both sides
x + 3 = + - sqrt 2
subtract 3 from both sides
x = - 3 + - sqrt 2
This is not an answer choice but it is the correct answer. You either typed the choices incorrectly or the equation incorrectly.
Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
<h3>Variation</h3>
y = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
y = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
Learn more about variation:
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The answer is 3 inches wide and 5 inches tall and 2 inches wide and 5 inches tall. The second from the top.
I hope this helps.
Answer:
slope (m)= y2-y1 /x2 -x1
Step-by-step explanation:
or m= ((9-5)/ (5-3)
or,m= 4/2
or,m =2
<h2>
Perfect Squares</h2>
Perfect square formula/rules:
Trinomials are often organized like 
.
The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.
- Perfect square trinomial:
- or
<h2>Solving the Question</h2>
We're given:
In a trinomial, we're given the 
and 
values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
Therefore, the term that we can add is + 4.
To write this as the square of a bracketed expression, we can follow the rule 
:
<h2>Answer</h2>
