Question

11. Find the distance between points C(-1, 5) and D(0,4).

d = √(x₂ − x₁)² + (y₂ − y₁)²
Оо
0 1
O sqrt(2)
02

Answer 1

The distance between points C(-1, 5) and D(0,4) is approximately sqrt(2) units. Therefore correct option is C

Step-by-step explanation:

To find the distance between points C(-1, 5) and D(0,4), you can use the distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substituting the coordinates of C(-1, 5) and D(0, 4) into the formula, you get:

d = \sqrt{(0 - (-1))^2 + (4 - 5)^2}

d = \sqrt{(1)^2 + (-1)^2}

d = \sqrt{1 + 1}

d = \sqrt{2}

d \approx \sqrt{2}

Therefore, the distance between points C(-1, 5) and D(0, 4) is approximately sqrt(2) units.