Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:
Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:
Given
Putting the values in the formula
Putting the values of h,k and r in general form of equation
Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Answer: 8^4
Step-by-step explanation:
Part a) The true inequality statement is: 
Part b) The true inequality statement is: 
Part c) The true inequality is 
Step-by-step explanation:
We are given the two integers are -2 and -5.
Part a)
Write a true inequality statement.
The true inequality statement is:
Part b)
Subtract-2 from each side of the inequality. Write a true inequality statement.
Subtracting -2 from each side we get:
The true inequality statement is:
Part c)
Multiply each number by-3. Write a true inequality statement.
Multiplying -3 on both sides:
The true inequality is
Keywords: Solving inequalities
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There isn't an exact value for the square root of 3. It is roughly 1.732
Answer:
Step-by-step explanation:
Let the equation is, y = x² + bx + c
Here, b = Sum of the roots
And c = multiplication of the roots
Roots of the equation are (5 + 2i) and (5 - 2i).
Step 1,
Sum of the roots 'b' = (5 + 2i) + 95 - 2i)
b = 10
Step 2,
Multiplication of the given roots = (5 - 2i)(5 + 2i)
= 5² - (2i)²
= 25 + 4
= 29
Step 3
Therefore, equation of the quadratic function will be,
y = x² + 10x + 29
