A student writes the equation for a line that has a slope of
-6 and passes through the point (2,8).
y-(-8)= -6(x - 2)
y-(-8)= -6x + 12
y-(-8) + 8 = -6x + 12 + 8
y=-6x + 20
Explain why the work is not correct.

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -k = m(x -h)

for a point (h, k) and a slope m.

The problem statement tells us m=-6 and (h, k) = (2, 8). Putting these values into the form gives ...

  y -8 = -6(x -2)

The first line of "the work" uses -8 instead of 8. We cannot tell if that is an error in the work, or a typo in the problem statement. Either way, they disagree.

__

The last line of "the work" adds -(-8) and +8 to give a result of 0. That is definitely an error, regardless of the above.

_____

Comment on the result

If the problem statement has no typo, the errors cancel and the student ended up with the right equation.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm