Answer:
A. (x + 2)^2 = 31.
Step-by-step explanation:
x^2 + 4x = 27
x^2 + 4x - 27 = 0
A. (x + 2)^2 = 31
x^2 + 4x + 4 - 31 = 0
x^2 + 4x - 27 = 0
This option corresponds to the given equation, so it is correct.
B. (x + 2)^2 = 43
x^2 + 4x + 4 - 43 = 0
x^2 + 4x - 39 = 0
This does not correspond to the equation.
C. (x + 4)^2 = 31
x^2 + 8x + 16 - 31 = 0
x^2 + 8x - 15 = 0
This does not correspond to the equation.
D. (x+4)^2 = 43
x^2 + 8x + 16 - 43 = 0
x^2 + 8x - 27 = 0
This does not correspond to the equation.
So, your answer is A. (x + 2)^2 = 31.
Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!
Answer:
D.
Step-by-step explanation:
First, you need to see which number all of these numbers have in common, and that is number 4. So, let's start:
-4(x2 - 4x + 6)
The expression in the brackets cannot be factored further, which means that the answer above is the complete factor of the original expression. Hope it helps. :)
Answer:
38sqr5
Step-by-step explanation:
Answer:
Step-by-step explanation:
average of x-coordinates = (7+1)/2 = 4
average of y-coordinates = (-3-1)/2 = -2
center of circle: (4,-2)
radius = distance between (1,-1) and (4,-2)
= √((4-1)²+(-2-(-1))²)
= √10
equation of circle:
(x-4)² + (y+2)² = 10