Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AApply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.%0D%0A%0D%0A(1 point)
10 answers
Unfortunately, there is no image provided with the question. In order to answer the question, the image or the coordinates of the two points are necessary.
the poins are (3,2) and (7,8)
To find the length between the two points, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's label the points as follows:
Point 1: (3,2)
Point 2: (7,8)
The horizontal distance between the two points is the difference between their x-coordinates: 7 - 3 = 4
The vertical distance between the two points is the difference between their y-coordinates: 8 - 2 = 6
Now we have a right triangle with sides of lengths 4 and 6. We can use the Pythagorean Theorem to find the length of the hypotenuse:
Hypotenuse^2 = 4^2 + 6^2
Hypotenuse^2 = 16 + 36
Hypotenuse^2 = 52
Taking the square root of both sides, we get:
Hypotenuse ≈ √52 ≈ 7.21
Rounding to the nearest hundredth, the length between the two points is approximately 7.21.
Let's label the points as follows:
Point 1: (3,2)
Point 2: (7,8)
The horizontal distance between the two points is the difference between their x-coordinates: 7 - 3 = 4
The vertical distance between the two points is the difference between their y-coordinates: 8 - 2 = 6
Now we have a right triangle with sides of lengths 4 and 6. We can use the Pythagorean Theorem to find the length of the hypotenuse:
Hypotenuse^2 = 4^2 + 6^2
Hypotenuse^2 = 16 + 36
Hypotenuse^2 = 52
Taking the square root of both sides, we get:
Hypotenuse ≈ √52 ≈ 7.21
Rounding to the nearest hundredth, the length between the two points is approximately 7.21.
are you sure
Apologies for the confusion earlier. Let's recalculate the length between the two points.
Using the distance formula, we have:
√[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the coordinates:
x1 = 3, y1 = 2
x2 = 7, y2 = 8
We can now solve for the length:
√[(7 - 3)^2 + (8 - 2)^2]
√[4^2 + 6^2]
√[16 + 36]
√52
Taking the square root of 52 gives us:
√52 ≈ 7.21
Rounding to the nearest hundredth, the length between the two points is approximately 7.21 units.
Using the distance formula, we have:
√[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the coordinates:
x1 = 3, y1 = 2
x2 = 7, y2 = 8
We can now solve for the length:
√[(7 - 3)^2 + (8 - 2)^2]
√[4^2 + 6^2]
√[16 + 36]
√52
Taking the square root of 52 gives us:
√52 ≈ 7.21
Rounding to the nearest hundredth, the length between the two points is approximately 7.21 units.
u better be right
I apologize if my response was not clear before. However, I can assure you that the calculation is correct. The length between the points (3,2) and (7,8) is approximately 7.21 units. If you have any further doubts or questions, please let me know.
and is this rounded to the nearest hundredth
Yes, the value of approximately 7.21 units is rounded to the nearest hundredth.
bot lying
3 answers