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−−−−−−−−−−−−−−−−−−−√
7 answers
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 = \(\sqrt{(x_2−x_1)^2+(y2 − y1)^2}\)
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.
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.
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.
First, add the squared values: \[ 64 + 36 = 100 \]
Next, take the square root of the sum: \[ \sqrt{100} = 10 \]
So, the correct response is:
64 + 36−−−−−−−√ = 10 units.
