Question

question 7 of 10

which of the following circles have their centers in the second quadrant?

check all that apply.

a. \\((x + 1)^2 + (y - 7)^2 = 16\\)

b. \\((x - 5)^2 + (y - 6)^2 = 25\\)

c. \\((x - 4)^2 + (y + 3)^2 = 32\\)

d. \\((x + 2)^2 + (y - 5)^2 = 9\\)

Explanation:

Identify the condition for the second quadrant

$$ x < 0 \quad \text{and} \quad y > 0 $$

Find the center of each circle equation

$$
LATEXBLOCK0
$$

Determine which centers lie in the second quadrant

$$
LATEXBLOCK1
$$

Answer:

• A. \((x + 1)^2 + (y - 7)^2 = 16\) (Correct answer)
• B. \((x - 5)^2 + (y - 6)^2 = 25\)
• C. \((x - 4)^2 + (y + 3)^2 = 32\)
• D. \((x + 2)^2 + (y - 5)^2 = 9\) (Correct answer)