A triangle has vertices on a coordinate grid at N (7,3), 0(-8, -3), and P(-8,-8). What is the length, in units, of NO?

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

The triangle formed by the points N (7,3), 0(-8, -3), and  P(-8,-8) is shown in the image provided.

We are required to find the distance between N and O:

Since 261=9*29:

Part A)

Part B)

Part C)

Part D) The kilometer unit makes more sense because it is simpler to use a smaller number than using a six figure unit to measure speed or rate

Step-by-step explanation:

Part A) Rearrange the distance formula, d = rt, to solve for rate

we have

where

d >  represents distance

r > represents rate

t > represents time

Solve for rate r

That means > Isolate the variable r

Divide both sides by t

Simplify

Rewrite

Part B) Find the falcon's rate in meters per hour.

we know that

The rate is equal to

we have

substitute

Part C) Find the falcon's rate in kilometers per hour

we know that

The rate is equal to

we have

Remember that

Convert meters to kilometers

substitute the values in the equation

Part D) Which unit, meters, or kilometers, makes more sense to use in this scenario, and why?

The kilometer unit makes more sense because it is simpler to use a smaller number than using a six figure unit to measure speed or rate