find the distance between the points (-20,16) and (-15,19). also find the midpoint of the segment that joins the points.

what is the distance?_____
what is the midpoint?______

Finding the distance between 2 points and

finding the midpoint between 2 points should be
part of your repertoire of common and memory-recall-ready formulas if you want to study math

for (a,b) and (c,d)
Distance = √( (c-a)^2 + (d-b)^2 )
midpoint = ( (a+c)/2 , (b+d)/2 )

please memorize them
let me know what you get for this question.

To find the distance between two points in a coordinate plane, you can use the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

The points are (-20,16) and (-15,19). Let's label them as follows:
Point A: (-20,16) = (x₁, y₁)
Point B: (-15,19) = (x₂, y₂)

Now, let's substitute the values into the distance formula:

Distance = √((-15 - (-20))² + (19 - 16)²)
= √(5² + 3²)
= √(25 + 9)
= √34

Therefore, the distance between the points (-20,16) and (-15,19) is √34 (approximately 5.83 units).

To find the midpoint of a line segment joining two points, you can use the midpoint formula:

Midpoint = [(x₁ + x₂)/2 , (y₁ + y₂)/2]

Using the same points, let's calculate the midpoint:

Midpoint = [((-20 + -15)/2) , ((16 + 19)/2)]
= [(-35/2) , (35/2)]
= (-17.5, 17.5)

Therefore, the midpoint of the line segment joining the points (-20,16) and (-15,19) is (-17.5, 17.5).