Did I do this problem correctly?
Find the distance between the given points: (-5, 5) and (0, 12).
D=sqrt[(12+5)^2+(0+5)^2]
D= sqrt[289+25]
D=314
D~17.720
Is this correct?
Thanks.
not correct
in
D=sqrt[(12+5)^2+(0+5)^2]
you subtracted the x's correctly, but you added the y's
should have been
D=sqrt[(12-5)^2+(0+5)^2]
take it from there
So then it should look like this:
D= sqrt[(12-5)^2+(0+5)^2
D= sqrt [49+25]
D=sqrt 74
d~8.602
Is this correct?
To find the distance between two points on a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to the problem you provided.
Given points:
Point 1: (-5, 5)
Point 2: (0, 12)
Substituting the coordinates into the distance formula:
d = sqrt((0 - (-5))^2 + (12 - 5)^2)
= sqrt((5)^2 + (7)^2)
= sqrt(25 + 49)
= sqrt(74)
Therefore, the correct distance between the two given points is sqrt(74), which is approximately 8.60.
So, your calculation is not correct. The actual distance between the given points is approximately 8.60, not 17.720.
I hope this explanation helps!