Rearrange the equation so q is the independant variable: -7q+12r=3q-4 r=

r =

Step-by-step explanation:

In order to make 'q' the independent variable in the equation, you need to solve for 'r'.  The dependent variable would be 'r' because it depends on the value of 'q' to be solved.  We can solve for 'r' by using inverse operations and completing the same operation on both sides of the equation. Starting with the initial equation and solving for 'r':

-7q + 12r = 3q -4

Add '7q' to both sides:  -7q + 7q + 12r = 3q - 4 + 7q  or 12r = 10q - 4

Divide all terms by 12:  12r/12 = 10q/12 - 4/12

Simplify:  r =

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.