Question

Help with this question​

Answer 1

• (1.66, 4.49)

Explanation:

Equation of circle:

• (x - h)² + (y - k)² = r²

Substitute the values of h, k, r to get:

• x² + (y - 2)² = 3²
• x² + (y - 2)² = 9

The line is:

• y = 1.5x + 2

Substitute y into equation of circle and solve for positive x, since we are interested in the intersection in the first quadrant:

• x² + (1.5x + 2 - 2)² = 9
• x² + 2.25x² = 9
• 3.25x² = 9
• x² = 9/3.25
• x ≈ 1.66

Find corresponding value of y:

• y = 1.5*1.66 - 2 = 4.49