1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

so

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2

thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
For this case, we must find an expression equivalent to:

By definition of power properties we have:

Rewriting the previous expression we have:
The "-" are canceled and we take into account that:

So:

According to one of the properties of powers of the same base, we must put the same base and add the exponents:

Answer:

Option B
Answer:
162
Step-by-step explanation:
324/2 because a square has sides that are all equal, so the area is 2 times the length of a side
I don’t know I need points