Point E(−5, 3) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point E and point D in units?
Using the distance formula, we can find the distance between two points on the grid:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the values of point E and point D into the formula:
d = sqrt(((-4) - (-5))^2 + ((-3) - 3)^2)
= sqrt((1)^2 + (-6)^2)
= sqrt(1 + 36)
= sqrt(37)
The closest measurement to the distance between point E and point D is sqrt(37) or approximately 6.08 units.
To find the distance between two points on a grid, we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between point E(-5, 3) and point D(-4, -3) using the distance formula.
Using the distance formula, the distance between E and D is:
d = √((-4 - (-5))^2 + (-3 - 3)^2)
d = √((1)^2 + (-6)^2)
d = √(1 + 36)
d = √37
So, the distance between point E and point D is closest to √37 units.
To find the distance between two points in the coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is as follows:
Distance between two points (x₁, y₁) and (x₂, y₂):
distance = sqrt((x₂ - x₁)² + (y₂ - y₁)²)
Given the coordinates of point E as (-5, 3) and point D as (-4, -3), let's substitute these values into the formula:
distance = sqrt((-4 - (-5))² + (-3 - 3)²)
= sqrt((-4 + 5)² + (-3 - 3)²)
= sqrt(1² + (-6)²)
= sqrt(1 + 36)
= sqrt(37)
So, the distance between point E and point D is closest to sqrt(37) units.