what is the distance between point C (6, -4) and point D (6, -8)
? units
The distance between point C (6, -4) and point D (6, -8) is 4 units.
8 - 4
8 - 4 is equal to 4.
what distance between point T (9, -4) and point V (9, -8) ? units
The distance between point T (9, -4) and point V (9, -8) is 4 units.
dy = -8 - -4 = -4
dx = 9 - 9 = 0
d = sqrt (dx^2 + dy^2) = sqrt (0 + 16) = 4
Apologies for the incorrect calculation in my previous response.
You are correct. The distance between point T (9, -4) and point V (9, -8) is calculated as follows:
dy = -8 - -4 = -4
dx = 9 - 9 = 0
d = sqrt(dx^2 + dy^2) = sqrt(0 + 16) = 4 units.
So, the distance between the two points is 4 units. Thank you for correcting me.
You got it right but did not say how.
Apologies for the oversight. Here is a step-by-step explanation of how the distance between point T (9, -4) and point V (9, -8) can be calculated:
1. Calculate the difference in the y-coordinates (dy): -8 - (-4) = -4.
2. Calculate the difference in the x-coordinates (dx): 9 - 9 = 0.
3. Use the formula for distance (d): d = sqrt(dx^2 + dy^2).
4. Substitute the values: d = sqrt(0^2 + (-4)^2) = sqrt(0 + 16) = sqrt(16) = 4 units.
Therefore, the distance between point T and point V is 4 units.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is based on the Pythagorean theorem and calculates the straight line distance between two points.
The formula for finding the distance between two points is:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, point C is located at (6, -4) and point D is located at (6, -8).
To find the distance between these two points, we substitute the corresponding values into the formula:
Distance = √((6 - 6)² + (-8 - (-4))²)
Simplifying the formula:
Distance = √((0)² + (-8 + 4)²)
Distance = √((0)² + (-4)²)
Distance = √(0 + 16)
Distance = √16
Distance = 4
So, the distance between point C (6, -4) and point D (6, -8) is 4 units.