Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (1 point) Responses 73 73 11 11 8.54 8.54 7.62

Answer 1

b: 5, 5
a: 2, -3

Answer 2

To find the distance between two points in a coordinate plane using the Pythagorean Theorem, we can use the distance formula:

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

However, you haven’t provided the coordinates of the two points between which you need to find the distance. If you can provide those coordinates, I can perform the calculation for you and determine the correct length rounded to the nearest hundredth.

Answer 3

Given the points \( A(2, -3) \) and \( B(5, 5) \), we can apply the distance formula:

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

Here, \( (x_1, y_1) = (2, -3) \) and \( (x_2, y_2) = (5, 5) \).

Now, substituting the values:

\[
d = \sqrt{(5 - 2)^2 + (5 - (-3))^2}
\]

Calculating the differences:

\[
d = \sqrt{(3)^2 + (8)^2}
\]
\[
d = \sqrt{9 + 64}
\]
\[
d = \sqrt{73}
\]

Calculating the square root:

\[
d \approx 8.54
\]

Therefore, the length between the two points is approximately **8.54** (rounded to the nearest hundredth).