<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:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = 
= 5
Hence the value of X = 5 unit Answer
Yes,because there are 32 fl oz in a quart, so Terrell is correct.
Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
Answer:
24% saline
Step-by-step explanation:
Find how much saline is in both solutions:
7(0.27)
= 1.89
3(0.17)
= 0.51
Add this together:
1.89 + 0.51
= 2.4
Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:
2.4/10
= 0.24
So, the concentration of the mixture is 24% saline
