Here we have , an expression x2 + 4x + c or , $x^2 + 4x + c$ . We need to find the value of c that makes the expression a perfect square binomial. Let's find out:

We have , $x^2 + 4x + c$

⇒ $x^2+4x+c$

⇒ $x^2+2(2)x+c$

Now , we know that $(a+b)^2=a^2+2(a)(b)+b^2$

Comparing above equation , to $x^2+2(2)x+c$ we get ;

⇒ $x^2+2(2)x+c$ { $c=2^2$ }

⇒ $x^2+2(2)x+2^2$

⇒ $(x+2)^2$

Therefore , the value of c that makes the expression a perfect square binomial is c=4 .

7 0

3 years ago

Which number produces a rational number when multiplied by 1/4

12345 [234]

The answer is
A. 1.7320508

8 0

3 years ago

I need help asap will mark you brain list. Show your work

Anna11 [10]

Answer:

1/25
1/9

Step-by-step explanation:

Solving exponents

a. 5^-2 = 1/5^2 = 1/25
b. (3^2)^3/3^8 = 3^6/3^8 = 1/3^2 = 1/9

3 0

4 years ago