Don't just say the answer, please show how you got it so I can know for further use​

C

Step-by-step explanation:

We have the equation:

We can subtract 10 from both sides:

Since this equation isn't factorable, we can use the quadratic formula:

In this case, a = 1, b = -6, and c = -10.

Substitute:

Simplify:

Note that:

Hence:

Therefore, our answer is C.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

c. side angle side. u shares the same sides