Which of the functions below could have created this graph?
1 answer:
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The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)
Step-by-step explanation:
The equation of a circle of center (h , k) and radius r is:
(x - h)² + (y - k)² = r²
The given is:
- The center of the circle is (-2 , 1)
- The circle passes through point (-5 , -3)
The length of the radius is the distance from the center of the circle
to a point on the circle
∵ The formula of the distance is
∵ The center of the circle is (-2 , 1)
∵ The circle passes through point (-5 , -3)
∴
∴
∴
∴
∴ r = 5
∵ The equation of the circle is (x - h)² + (y - k)² = r²
∵ The center of the circle is (-2 , 1)
∴ h = -2 and k = 1
∵ r = 5
∴ r² = (5)² = 25
- Substitute the values of h , k , r² in the equation of the circle
∴ (x - -2)² + (y - 1)² = 25
∴ (x + 2)² + (y - 1)² = 25
The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains
the point (-5 , -3) and has a center at (-2 , 1)
Learn more:
You can learn more about the equation of the circle in brainly.com/question/9510228
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Answer:
The mass of the cubic granite block is 1408 g .
Step-by-step explanation:
Formula
Volume of a cube = a³
Where a is the side of the cube .
As given
one side of the cube is 8 cm .
(The figure is shown below.)
Thus
Put in the formula
Volume of a cubic granite block = 8 × 8 × 8
= 512 cm³
As given
The density of cube is 2.75 g/cm³.
Put in the formula
Mass = 2.75 × 512
Mass = 1408 g
Therefore the mass of the cubic granite block is 1408 g .
C would be the answer as 
is the same thing as x * x * x * x.