<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>
Answer:
14
Step-by-step explanation:
rectangle 8
triangle 6
Answer:
Hello there!
The answer you are looking for is B.!
Step-by-step explanation:
That is the only one that makes sense.
Have a great day!
All we have to do is divide the distance of the old sidewalk by 3.14:
65 / 3.14 ≈ 20.7006
That means that, rounded to the nearest meter, the new sidewalk is:
21 meters long!
Answer:
The answer is the first option; 6^1/12
Step-by-step explanation:
We can simplify the question by using the radical rule to rewrite it as
6^1/3 ÷ 6^1/4
Then we use exponent rule which states that when we are dividing exponents of the same base, we have to subtract them. We see that the exponents are 1/3 and 1/4. So we use basic fractional division, here's the subtraction:
= 1/3 - 1/4
= 4/3 - 3/4 (we criss-crossed)
= 1/12 (we subtracted the denominators and multiplied the denominators)
Now that we have subtracted the exponents, we can write the answer as 6^1/12
