What could be the distance between (5-2) and then (4,-9)
use the distance formula
d=√(x2−x1)2+(y2−y1)2
a- 8.23
b-11.05
c. 14.21
d-16.27
please please help me!
you have the formula -- just use it
d = √((4-5)^2 + (-9+2)^2) = √(1+49) = √50 = 7.07
Hmmm. I suspect a typo somewhere
yes i had a typo omg!! d=√(x2−x1)^2+(y2−y1)^2
its (-5,2) and (4,-9) I am so sorry
To find the distance between the points (5, -2) and (4, -9), we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can substitute the given values as follows:
d = √((4 - 5)^2 + (-9 - (-2))^2)
= √((-1)^2 + (-7)^2)
= √(1 + 49)
= √50
Now, we can simplify √50 by noting that 50 is a multiple of 25:
√50 = √(25 x 2)
Since √(25) = 5, we can write:
√50 = 5√2
So, the distance between the two points is 5√2.
Approximately, this is:
5 x 1.414 = 7.07
Therefore, the answer is approximately 7.07.
From the given options, the closest answer is b-11.05.
To find the distance between two points using the distance formula, you need to substitute the coordinates into the formula. Let's break it down:
Given points:
Point 1: (x1, y1) = (5, -2)
Point 2: (x2, y2) = (4, -9)
Now, substitute these values into the formula:
d = √((x2 - x1)² + (y2 - y1)²)
Substituting the given point values:
d = √((4 - 5)² + (-9 - (-2))²)
= √((-1)² + (-7)²)
= √(1 + 49)
= √50
Now, simplify the square root:
d ≈ 7.07
So, the correct option closest to 7.07 is:
c. 14.21 (approximation)
Therefore, the correct answer is c. 14.21.
Note: The options provided do not match the correct distance, so none of the options provided are correct.