Answer:
B
Step-by-step explanation:
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 is the radius
To obtain this form use the method of completing the square
Given
x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )
x² - 8x + y² - 2y = 8
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1
(x - 4)² + (y - 1)² = 25 → B
Answer:
2√30 + 30√2
Step-by-step explanation:
(4√3 − 2√5)(3√10 + 5√6) simplify
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- (4√3 − 2√5)(3√10 + 5√6)=
- 12√30 + 20√18 - 6√50 - 10√30=
- 2√30 + 20*3√2 - 6*5√2=
- 2√30 + 30√2
You have to set up to equations
EQ 1: x-2=2 EQ 2: x+2=2
Solve for x and see which value fits the conditions, in this case 4
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
The graph file and correct question are defined in the attachment please find it.
According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).
by putting each point value into the objective function:
Thus, the objective of the function is reduced with a value of 183 at (3,1).