step by step bot here answer this please
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Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if necessary
To find the length between two points using the Pythagorean Theorem, you can follow these steps:
Step 1: Write down the coordinates of the two points.
The coordinates of the first point (−1, 6)
The coordinates of the second point (5, −2)
Step 2: Identify the differences in the x- and y-coordinates.
The difference in the x-coordinates is 5 - (-1) = 6
The difference in the y-coordinates is (-2) - 6 = -8
Step 3: Square each difference.
(6)^2 = 36
(-8)^2 = 64
Step 4: Add the squares of the differences.
36 + 64 = 100
Step 5: Take the square root of the sum.
√100 = 10
Therefore, the length between the points (−1, 6) and (5, −2) is 10.
Step 1: Write down the coordinates of the two points.
The coordinates of the first point (−1, 6)
The coordinates of the second point (5, −2)
Step 2: Identify the differences in the x- and y-coordinates.
The difference in the x-coordinates is 5 - (-1) = 6
The difference in the y-coordinates is (-2) - 6 = -8
Step 3: Square each difference.
(6)^2 = 36
(-8)^2 = 64
Step 4: Add the squares of the differences.
36 + 64 = 100
Step 5: Take the square root of the sum.
√100 = 10
Therefore, the length between the points (−1, 6) and (5, −2) is 10.
JUST 10
Apologies for the lengthy explanation. The length between the points (−1, 6) and (5, −2) is exactly 10.
step by step bot here answer this please
Distance and the Pythagorean Theorem Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Unlabeled data points marked are at left parenthesis negative 2 comma negative 1 right parenthesis, and at left parenthesis 2 comma 4 right parenthesis. A straight line joins the two lines with a positive slope.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
Distance and the Pythagorean Theorem Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Unlabeled data points marked are at left parenthesis negative 2 comma negative 1 right parenthesis, and at left parenthesis 2 comma 4 right parenthesis. A straight line joins the two lines with a positive slope.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
Sure! Let's apply the Pythagorean Theorem to find the length between the two given points.
Step 1: Identify the coordinates of the two points.
The coordinates of the first point are (-2, -1).
The coordinates of the second point are (2, 4).
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 2 - (-2) = 4.
The difference in the y-coordinates is 4 - (-1) = 5.
Step 3: Square each difference.
(4)^2 = 16.
(5)^2 = 25.
Step 4: Add the squares of the differences.
16 + 25 = 41.
Step 5: Take the square root of the sum.
√41 ≈ 6.40
Therefore, the length between the two points, (-2, -1) and (2, 4), is approximately 6.40 (rounded to the nearest hundredth).
Step 1: Identify the coordinates of the two points.
The coordinates of the first point are (-2, -1).
The coordinates of the second point are (2, 4).
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 2 - (-2) = 4.
The difference in the y-coordinates is 4 - (-1) = 5.
Step 3: Square each difference.
(4)^2 = 16.
(5)^2 = 25.
Step 4: Add the squares of the differences.
16 + 25 = 41.
Step 5: Take the square root of the sum.
√41 ≈ 6.40
Therefore, the length between the two points, (-2, -1) and (2, 4), is approximately 6.40 (rounded to the nearest hundredth).
step by step bot here answer this please Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Data points marked are point A at left parenthesis 2 comma negative 3 right parenthesis, and point B at left parenthesis 5 comma 5 right parenthesis.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.nswer this please
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Data points marked are point A at left parenthesis 2 comma negative 3 right parenthesis, and point B at left parenthesis 5 comma 5 right parenthesis.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.nswer this please
Certainly! Let's apply the Pythagorean Theorem to find the length between the given points.
Step 1: Identify the coordinates of the two points.
Point A: (2, -3)
Point B: (5, 5)
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 5 - 2 = 3.
The difference in the y-coordinates is 5 - (-3) = 8.
Step 3: Square each difference.
(3)^2 = 9.
(8)^2 = 64.
Step 4: Add the squares of the differences.
9 + 64 = 73.
Step 5: Take the square root of the sum.
√73 ≈ 8.54
Therefore, the length between the two points, (2, -3) and (5, 5), is approximately 8.54 (rounded to the nearest hundredth).
Step 1: Identify the coordinates of the two points.
Point A: (2, -3)
Point B: (5, 5)
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 5 - 2 = 3.
The difference in the y-coordinates is 5 - (-3) = 8.
Step 3: Square each difference.
(3)^2 = 9.
(8)^2 = 64.
Step 4: Add the squares of the differences.
9 + 64 = 73.
Step 5: Take the square root of the sum.
√73 ≈ 8.54
Therefore, the length between the two points, (2, -3) and (5, 5), is approximately 8.54 (rounded to the nearest hundredth).
step by step bot here answer this please Use the image to answer the question.
A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 5. Data points marked are point A at left parenthesis 1 comma 2 right parenthesis, point B at left parenthesis 3 comma 2 right parenthesis, point C at left parenthesis 3 comma 4 right parenthesis, and point D at left parenthesis 1 comma 4 right parenthesis. A line joins points A to B, B to C, C to D, and D to A, forming a rectangle.
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 5. Data points marked are point A at left parenthesis 1 comma 2 right parenthesis, point B at left parenthesis 3 comma 2 right parenthesis, point C at left parenthesis 3 comma 4 right parenthesis, and point D at left parenthesis 1 comma 4 right parenthesis. A line joins points A to B, B to C, C to D, and D to A, forming a rectangle.
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
Certainly! Let's apply the Pythagorean Theorem to find the length of the diagonal of the square formed by connecting the given points.
Step 1: Identify the coordinates of the two diagonal points.
Point A: (1, 2)
Point C: (3, 4)
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 3 - 1 = 2.
The difference in the y-coordinates is 4 - 2 = 2.
Step 3: Square each difference.
(2)^2 = 4.
(2)^2 = 4.
Step 4: Add the squares of the differences.
4 + 4 = 8.
Step 5: Take the square root of the sum.
√8 ≈ 2.83
Therefore, the length of the diagonal of the square is approximately 2.83 (rounded to the nearest hundredth).
Step 1: Identify the coordinates of the two diagonal points.
Point A: (1, 2)
Point C: (3, 4)
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 3 - 1 = 2.
The difference in the y-coordinates is 4 - 2 = 2.
Step 3: Square each difference.
(2)^2 = 4.
(2)^2 = 4.
Step 4: Add the squares of the differences.
4 + 4 = 8.
Step 5: Take the square root of the sum.
√8 ≈ 2.83
Therefore, the length of the diagonal of the square is approximately 2.83 (rounded to the nearest hundredth).
step by step bot here answer this please Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) . Round your answer to the nearest hundredth, if necessary.
Certainly! Let's apply the Pythagorean Theorem to find the length between the given points.
Step 1: Identify the coordinates of the two points.
Point 1: (2, 5)
Point 2: (7, 3)
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 7 - 2 = 5.
The difference in the y-coordinates is 3 - 5 = -2.
Step 3: Square each difference.
(5)^2 = 25.
(-2)^2 = 4.
Step 4: Add the squares of the differences.
25 + 4 = 29.
Step 5: Take the square root of the sum.
√29 ≈ 5.39
Therefore, the length between the points (2, 5) and (7, 3) is approximately 5.39 (rounded to the nearest hundredth).
Step 1: Identify the coordinates of the two points.
Point 1: (2, 5)
Point 2: (7, 3)
Step 2: Find the differences in the x- and y-coordinates.
The difference in the x-coordinates is 7 - 2 = 5.
The difference in the y-coordinates is 3 - 5 = -2.
Step 3: Square each difference.
(5)^2 = 25.
(-2)^2 = 4.
Step 4: Add the squares of the differences.
25 + 4 = 29.
Step 5: Take the square root of the sum.
√29 ≈ 5.39
Therefore, the length between the points (2, 5) and (7, 3) is approximately 5.39 (rounded to the nearest hundredth).
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