Find the distance between (-8,-3) and (-2,-5) round your answer to the nearest hundredth if necessary.
To find the distance between two points, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the points (-8, -3) and (-2, -5), we have:
x1 = -8
y1 = -3
x2 = -2
y2 = -5
Plugging these values into the distance formula, we get:
distance = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
distance = sqrt((6)^2 + (-2)^2)
distance = sqrt(36 + 4)
distance = sqrt(40)
Rounded to the nearest hundredth, the distance is approximately 6.32.
To find the distance between two points in a coordinate plane, we can use the distance formula. The formula is given by:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's assign the values:
x1 = -8
y1 = -3
x2 = -2
y2 = -5
Now, substitute the values into the distance formula:
Distance = √((-2 - (-8))² + (-5 - (-3))²)
Simplifying inside the square root:
Distance = √((-2 + 8)² + (-5 + 3)²)
Distance = √(6² + (-2)²)
Distance = √(36 + 4)
Distance = √40
To round the answer to the nearest hundredth, we can find the square root of 40 using a calculator:
Distance ≈ 6.32
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula for distance between two points (x1, y1) and (x2, y2) is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between (-8,-3) and (-2,-5) using the distance formula.
x1 = -8
y1 = -3
x2 = -2
y2 = -5
Plugging in these values into the distance formula:
d = sqrt((-2 - -8)^2 + (-5 - -3)^2)
= sqrt((6)^2 + (-2)^2)
= sqrt(36 + 4)
= sqrt(40)
= 6.32 (rounded to the nearest hundredth)
Therefore, the distance between (-8,-3) and (-2,-5) is approximately 6.32 units.