Asked by chesus jhrist
Which formula is used to find the distance between two points (x1 , y1 ) and (x2 , y2 ) in a coordinate plane?(1 point)
Responses
D= (x2−x1)2+(y2 − y1)2D= (x2−x1)2+(y2 − y1)2
D= (x2+x1)2+(y2 + y1)2−−−−−−−−−−−−−−−−−−−√D= (x2+x1)2+(y2 + y1)2−−−−−−−−−−−−−−−−−−−√
D= (x2−x1)+(y2 − y1)−−−−−−−−−−−−−−−−−−√D= (x2−x1)+(y2 − y1)−−−−−−−−−−−−−−−−−−√
D= (x2−x1)2+(y2 − y1)2−−−−−−−−−−−−−−−−−−−√D= (x2−x1)2+(y2 − y1)2−−−−−−−−−−−−−−−−−−−√
Responses
D= (x2−x1)2+(y2 − y1)2D= (x2−x1)2+(y2 − y1)2
D= (x2+x1)2+(y2 + y1)2−−−−−−−−−−−−−−−−−−−√D= (x2+x1)2+(y2 + y1)2−−−−−−−−−−−−−−−−−−−√
D= (x2−x1)+(y2 − y1)−−−−−−−−−−−−−−−−−−√D= (x2−x1)+(y2 − y1)−−−−−−−−−−−−−−−−−−√
D= (x2−x1)2+(y2 − y1)2−−−−−−−−−−−−−−−−−−−√D= (x2−x1)2+(y2 − y1)2−−−−−−−−−−−−−−−−−−−√
Answers
Answered by
GPT-4o mini
The correct formula to find the distance \( D \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) in a coordinate plane is:
\[ D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
So, the right choice from the options provided is:
**D = \(\sqrt{(x_2−x_1)^2+(y2 − y1)^2}\)**
\[ D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
So, the right choice from the options provided is:
**D = \(\sqrt{(x_2−x_1)^2+(y2 − y1)^2}\)**
Answered by
chesus jhrist
When applying the distance formula, what do you do after subtracting the x-coordinates and y-coordinates of two points?(1 point)
Responses
Add the differences.
Add the differences.
Square the differences.
Square the differences.
Divide the differences.
Divide the differences.
Multiply the differences.
Responses
Add the differences.
Add the differences.
Square the differences.
Square the differences.
Divide the differences.
Divide the differences.
Multiply the differences.
Answered by
GPT-4o mini
When applying the distance formula, after subtracting the x-coordinates and y-coordinates of two points, you **square the differences**.
So, the correct response is:
**Square the differences.**
So, the correct response is:
**Square the differences.**
Answered by
chesus jhrist
After calculating (x2−x1)2 and (y2 − y1)2 , what is the next step to find the distance between two points?(1 point)
Responses
Multiply the two squared values
Multiply the two squared values
Add the two squared values
Add the two squared values
Take the square root of both values.
Take the square root of both values.
Subtract the two squared values.
Responses
Multiply the two squared values
Multiply the two squared values
Add the two squared values
Add the two squared values
Take the square root of both values.
Take the square root of both values.
Subtract the two squared values.
Answered by
GPT-4o mini
After calculating \( (x_2 - x_1)^2 \) and \( (y_2 - y_1)^2 \), the next step to find the distance between two points is to **add the two squared values**.
So, the correct response is:
**Add the two squared values.**
So, the correct response is:
**Add the two squared values.**
Answered by
chesus jhrist
If the squared differences of the x-coordinates and y-coordinates are 64 and 36 respectively, what is the distance between the two points?(1 point)
Responses
64 − 36−−−−−−−√ = 5.29 units64 − 36−−−−−−−√ = 5.29 units
64 − 36−−−−−−−√ = 8− 6= 2 units64 − 36−−−−−−−√ = 8− 6= 2 units
64 + 36−−−−−−−√ = 8 + 6 = 14 units64 + 36−−−−−−−√ = 8 + 6 = 14 units
64 + 36−−−−−−−√ = 10 units
Responses
64 − 36−−−−−−−√ = 5.29 units64 − 36−−−−−−−√ = 5.29 units
64 − 36−−−−−−−√ = 8− 6= 2 units64 − 36−−−−−−−√ = 8− 6= 2 units
64 + 36−−−−−−−√ = 8 + 6 = 14 units64 + 36−−−−−−−√ = 8 + 6 = 14 units
64 + 36−−−−−−−√ = 10 units
Answered by
GPT-4o mini
To find the distance between the two points, you need to add the squared differences and then take the square root.
The squared differences are 64 and 36.
1. First, add the squared values:
\[ 64 + 36 = 100 \]
2. Next, take the square root of the sum:
\[ \sqrt{100} = 10 \]
So, the correct response is:
**64 + 36−−−−−−−√ = 10 units**.
The squared differences are 64 and 36.
1. First, add the squared values:
\[ 64 + 36 = 100 \]
2. Next, take the square root of the sum:
\[ \sqrt{100} = 10 \]
So, the correct response is:
**64 + 36−−−−−−−√ = 10 units**.