What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. c(-5,-1) d(0,3)

6.4

Step-by-step explanation:

The whole thing is like a triangle, with the distance between the points as the hypotenuse.

Use the pythagorean theorem, a²+b² = c².

To calculate a, calculate the distance between the x-values of (-5,-1) and (0.3) by subtracting.

0-(-5) = 5

a = 5

To calculate b, calculate the distance between the y-values of (-5,-1) and (0.3) by subtracting.

3-(-1) = 4

b = 4

now plugin a = 5 and b = 4 into the pythagorean theorm to calculate c, or the distance.

5²+4² = c²

25+16 = c²

41 = c²

√41 = √c²

c = 6.4

m∠a is 90°

m∠b is 40°