Aparticipant in a 21-mile walkathon walks at a steady rate of 3 per hours. he thinks, "the relationship between the number of miles left to walk and the number of hours i already walked can be represented by a line with slope -3." do you agree with his claim? explain your reasoning.

Yes. I agree with his claim because the equation relating the miles left to walk and the number of miles left to walk is :

Step-by-step explanation:

Given :

Let the number of miles walked be ;

∴,

The number of miles '' left to walk will be :

Thus the time '' for which he walked :

:

∴

From these equations , we get :

Thus , when we compare this with ,

Thus this is an equation of a Line with slope -3.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later