Answer:
8000 is a perfect cube but 3375 can be also but i m a little sure that 8000 is a perfect cube
Answer:
graph c
Step-by-step explanation:
Given
| - 2x | = 4
The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is
- 2x = 4 or - (- 2x) = 4
Solving both
- 2x = 4 ( divide both sides by - 2 )
x = - 2
or
- (- 2x) = 4
2x = 4 ( divide both sides by 2 )
x = 2
The third graph indicates x = - 2 and x = 2 on the number line
Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
