A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which
2 answers:
Given choices:
(1) division property of equality
(2) factoring the binomial
(3)completing the square
(4)subtraction property of equality
Answer : (2) factoring the binomial
Step 1:
Step 2:
In step 2, 'a' is taken out from . when we take out 'a' we divide each term by 'a'. so it becomes
'a' is factored out in step 2. we call it as factoring a binomial.
You might be interested in
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC =
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) =
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence
Now let us consider ΔBDE, sin(∠DBE) =
The question is as following:
<span>How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x ?
</span>
=================================================
Solution :
========
The given function ⇒
The parent function of the given function ⇒
By graphing both of the equations as shown in the attached figure.
So, we can conclude the following
<span>g(x) is shifted 5 units right and 2 units up from f(x).
</span>
So, the correct answer is option 2
<span />
<span>How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x ?
</span>
=================================================
Solution :
========
The given function ⇒
The parent function of the given function ⇒
By graphing both of the equations as shown in the attached figure.
So, we can conclude the following
<span>g(x) is shifted 5 units right and 2 units up from f(x).
</span>
So, the correct answer is option 2
<span />