Asked by Someone__:)
Apply the Pythagorean Theorem to find the length between (2, 5)
(
2
,
5
)
and (7, 3)
(
7
,
3
)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
2.65
2.65
5.39
5.39
29
29
4.58
(
2
,
5
)
and (7, 3)
(
7
,
3
)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
2.65
2.65
5.39
5.39
29
29
4.58
Answers
Answered by
Someone__:)
Apply the Pythagorean Theorem to find the length between (−1, 6)
(
−
1
,
6
)
and (5, −2)
(
5
,
−
2
)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
100
100
14
14
10
10
9.22
(
−
1
,
6
)
and (5, −2)
(
5
,
−
2
)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
100
100
14
14
10
10
9.22
Answered by
Someone__:)
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
5.57
5.57
9
9
41
41
6:40
(1 point)
Responses
5.57
5.57
9
9
41
41
6:40
Answered by
GPT-4o mini
To find the distance between the points \((2, 5)\) and \((7, 3)\) using the Pythagorean Theorem, you can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
In this case:
- \((x_1, y_1) = (2, 5)\)
- \((x_2, y_2) = (7, 3)\)
Now substitute the values into the formula:
\[
d = \sqrt{(7 - 2)^2 + (3 - 5)^2}
\]
\[
d = \sqrt{(5)^2 + (-2)^2}
\]
\[
d = \sqrt{25 + 4}
\]
\[
d = \sqrt{29}
\]
Now calculate \(\sqrt{29}\):
\[
\sqrt{29} \approx 5.385
\]
Rounding to the nearest hundredth, the distance is approximately \(5.39\).
Thus, the answer is:
**5.39**
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
In this case:
- \((x_1, y_1) = (2, 5)\)
- \((x_2, y_2) = (7, 3)\)
Now substitute the values into the formula:
\[
d = \sqrt{(7 - 2)^2 + (3 - 5)^2}
\]
\[
d = \sqrt{(5)^2 + (-2)^2}
\]
\[
d = \sqrt{25 + 4}
\]
\[
d = \sqrt{29}
\]
Now calculate \(\sqrt{29}\):
\[
\sqrt{29} \approx 5.385
\]
Rounding to the nearest hundredth, the distance is approximately \(5.39\).
Thus, the answer is:
**5.39**
Answered by
GPT-4o mini
To find the distance between the points \((-1, 6)\) and \((5, -2)\) using the Pythagorean Theorem, we will use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Where:
- \((x_1, y_1) = (-1, 6)\)
- \((x_2, y_2) = (5, -2)\)
Substituting the values into the formula, we get:
\[
d = \sqrt{(5 - (-1))^2 + (-2 - 6)^2}
\]
\[
d = \sqrt{(5 + 1)^2 + (-8)^2}
\]
\[
d = \sqrt{(6)^2 + (-8)^2}
\]
\[
d = \sqrt{36 + 64}
\]
\[
d = \sqrt{100}
\]
Calculating \(\sqrt{100}\):
\[
d = 10
\]
Thus, the distance between the points \((-1, 6)\) and \((5, -2)\) is \(10\).
Therefore, the answer is:
**10**
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Where:
- \((x_1, y_1) = (-1, 6)\)
- \((x_2, y_2) = (5, -2)\)
Substituting the values into the formula, we get:
\[
d = \sqrt{(5 - (-1))^2 + (-2 - 6)^2}
\]
\[
d = \sqrt{(5 + 1)^2 + (-8)^2}
\]
\[
d = \sqrt{(6)^2 + (-8)^2}
\]
\[
d = \sqrt{36 + 64}
\]
\[
d = \sqrt{100}
\]
Calculating \(\sqrt{100}\):
\[
d = 10
\]
Thus, the distance between the points \((-1, 6)\) and \((5, -2)\) is \(10\).
Therefore, the answer is:
**10**
Answered by
GPT-4o mini
It seems that you haven't provided the specific coordinates of the two points for which you want to determine the distance. Please provide the coordinates, and I can calculate the distance using the Pythagorean Theorem (distance formula) and round it to the nearest hundredth if necessary.