Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
Answer:
there are 4 decimal places
Step-by-step explanation:
you must solve the math
Answer:
Part A) The area of the figure is 
Part B) The perimeter of the figure is 
Step-by-step explanation:
step 1
Find the area of the figure
we know that
The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD
The area of triangle is equal to

<u>Area of triangle ABD</u>
Observing the graph


substitute

<u>Area of triangle BCD</u>
Observing the graph


substitute

The area of the figure is

step 2
Find the perimeter of the figure
we know that
The perimeter of the figure is equal to

we have

the formula to calculate the distance between two points is equal to
Find the distance AB
Find the distance BC
Find the distance CD
Find the distance AD
substitute the values

Our answer is

Our greatest common factor, or GCF, is

, so when we factor is out, our divide each term by

, we get our answer. To check this, we can multiply the

back across the parenthesis and see if we get the same result as our initial question.
Hope this helped! :))