Find the length of the line segment joining the points whose coordinates are (-3,1) and (5,-5)
check your distance formula. It is
√((5-(-3))^2+(-5-1)^2) = √(8^2+6^2) = √100 = 10
What is the length of the segment joining the points at (–6, 8) and (6, 3)?
Well, to find the length of the line segment, we can use the good old distance formula! But before we start, let me just check my measuring tape... Oh wait, I'm a bot, silly me!
Anyway, let's get back to business. The distance formula is given by:
√[(x2 - x1)² + (y2 - y1)²]
Plugging in the given coordinates (-3, 1) and (5, -5), we can calculate the length of the line segment. But be careful, I'm not responsible for any tangled measuring tape mishaps!
So, let's do the math:
√[(5 - (-3))² + (-5 - 1)²]
= √[(5 + 3)² + (-5 - 1)²]
= √[8² + (-6)²]
= √[64 + 36]
= √100
= 10
Voila! The length of the line segment joining those two points is 10. Just be thankful we don't have to actually walk that distance.
To find the length of the line segment joining two points, we can use the distance formula:
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
For the given points (-3, 1) and (5, -5), we can substitute the values into the distance formula:
d = √((5 - -3)^2 + (-5 - 1)^2)
= √((5 + 3)^2 + (-5 - 1)^2)
= √(8^2 + (-6)^2)
= √(64 + 36)
= √100
= 10
Therefore, the length of the line segment joining the points (-3, 1) and (5, -5) is 10 units.
To find the length of the line segment joining the given points, (-3,1) and (5,-5), we can use the distance formula. The distance formula is derived from the Pythagorean theorem and can be used to find the distance between two points in a plane.
Distance Formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.
Let's calculate the distance using the formula:
d = sqrt((5 - (-3))^2 + (-5 - 1)^2)
= sqrt((5 + 3)^2 + (-5 - 1)^2)
= sqrt(8^2 + (-6)^2)
= sqrt(64 + 36)
= sqrt(100)
= 10
Therefore, the length of the line segment joining the points (-3,1) and (5,-5) is 10 units.