Kim drove from Mathtown at (-2, 5) to Geometryville at (3, -1) to Algebra Springs at (-6, -5), and then back to Mathtown. Find the total distance Kim traveled to the nearest hundredth.

Option (3)

Step-by-step explanation:

To solve this question we will use the formula,

Distance (d) between two points and ,

d =

Distance between Mathtown (-2, 5) to Geometryville (3, -1)

Distance between Geometryville (3, -1) and Algebra Springs (-6, -5)

Distance between Algebra Springs (-6, -5) and Mathtown (-2, 5)

Now total distance traveled by Kim =

                                                           = 7.81 + 9.85 + 10.77

                                                           = 28.43

Therefore, Option (3) will be the answer.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

24+x=y

step-by-step explanation: