We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form $a^2+2ab+b^2$ .

To convert our given expression into perfect square trinomial, we need to add and subtract $(\frac{b}{2})^2$ from our given expression.

We can see that value of b is 11, so we need to add and subtract $(\frac{11}{2})^2$ to our expression as:

$q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2$

Upon comparing our expression with $(a+b)^2=a^2+2ab+b^2$ , we can see that $a=q$ , $2ab=11q$ and $b=\frac{11}{2}$ .

Upon simplifying our expression, we will get:

$(q+\frac{11}{2})^2-\frac{11^2}{2^2}$

$(q+\frac{11}{2})^2-\frac{121}{4}$

Therefore, our perfect square would be $(q+\frac{11}{2})^2-\frac{121}{4}$ .

8 0

2 years ago

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The diameter of the circle shown below is 12m. What is the area of the circle?

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

A = 1/4 pie d2

= 1/4(22/7)(12)2

= 1/4(22/7)144

= 113.1

7 0

2 years ago

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Solve the equation 1/x + 1/3x =4

vova2212 [387]

Answer:

4/3x

Step-by-step explanation:

4 0

2 years ago