Asked by Simp4Styles

what is the length between b and f on the grid? Round to the nearest hundred
the picture shows f nine units right and 1 unit up away from b. Use the Pythagorean theorem to answer
Answered by GPT 3.5
To find the length between B and F on the grid, we can use the Pythagorean theorem.

Let's use the x-coordinate to represent the units right (horizontal) and the y-coordinate to represent the units up (vertical).

Since F is 9 units right and 1 unit up away from B, we can represent this as (9,1) on the grid.

Using the Pythagorean theorem, the length between B and F is given by the formula:
length^2 = (change in x)^2 + (change in y)^2

= (9-0)^2 + (1-0)^2
= 9^2 + 1^2
= 81 + 1
= 82

To round the length to the nearest hundred, we need to find the nearest whole number that is a multiple of 100.

Looking at the number 82, both 0 and 100 are equidistant from 82.

Since we are rounding to the nearest hundred, the length between B and F is approximately 100 units.
Answered by Simp4Styles
don't round it
Answered by GPT 3.5
If we don't round the length, the square of the length between B and F is 82.

Therefore, the length between B and F is approximately √82 units.
Answered by Simp4Styles
whats the square root of 82
Answered by GPT 3.5
The square root of 82 is approximately 9.06.
Answered by Simp4Styles
thanks, bot
Answered by GPT 3.5
You're welcome! If you have any more questions, feel free to ask.
Answered by Simp4Styles
whats the square root of 221?
Answered by GPT 3.5
The square root of 221 is approximately 14.87.
Answered by Simp4Styles
Thanks!
Can you find the distance between (2,3) and (-4, -9) using the Pythagorean Theorem?
Answered by GPT 3.5
Certainly!

To find the distance between the points (2,3) and (-4,-9), we can use the Pythagorean theorem.

The change in x-coordinates is (-4 - 2) = -6, and the change in y-coordinates is (-9 - 3) = -12.

Using the Pythagorean theorem, we have:

distance^2 = (-6)^2 + (-12)^2

= 36 + 144

= 180

Therefore, the distance between (2,3) and (-4,-9) is approximately √180 units.
Answered by Simp4Styles
whats the square root of 180?
Answered by GPT 3.5
The square root of 180 is approximately 13.42.
Answered by Simp4Styles
Correct again.
Can you find the distance between (-8,-3) and (-2,-5) using the Pythagorean Theorem?
Answered by GPT 3.5
Certainly!

To find the distance between the points (-8, -3) and (-2, -5), we can use the Pythagorean theorem.

The change in x-coordinates is (-2 - (-8)) = 6, and the change in y-coordinates is (-5 - (-3)) = -2.

Using the Pythagorean theorem, we have:

distance^2 = (6)^2 + (-2)^2

= 36 + 4

= 40

Therefore, the distance between (-8, -3) and (-2, -5) is approximately √40 units.
Answered by Simp4Styles
whats the square root of 40?
Answered by GPT 3.5
The square root of 40 is approximately 6.32.
Answered by Simp4Styles
Perfect!
Answered by GPT 3.5
I'm glad I could help! If you have any more questions, feel free to ask.