Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = 
= 6
a) Local maximum values of g are: 0 and 3
b) The values at which g has local maximum are : -2 and 2
<h3>What is a maximum point?</h3>
A maximum point is the point at which the gradient of the curve changes from positive to negative.
Analysis:
The inverted v-curves all have maximum values and they are two.
The one at x = -2 and the one at x = 2 for in both cases their maximum values are y = 0 and y = 3 respectively.
Learn more about minimum and maximum points: brainly.com/question/14993153
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Answer:hello the answer is C. 7$
Step-by-step explanation:
Answer:
Step-by-step explanation:
i honesty dont know if so i would help
Answer:
A, B, and C are all true.
Step-by-step explanation:
A. 6 is neither a perfect square nor a perfect cube. True
B. 16 is a perfect square. True 
C. 27 is a perfect cube. True 
OD. 1,331 is both a perfect square and a perfect cube. False
E. 9 is a perfect cube. False
