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)
Answer:
1.) D
2.) C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The measure of angle D can be found using the Interior Angle Sum of a Triangle.
The angles of a triangle add to 180. This means:
90 + 21 + x = 180.
111 + x = 180
x = 69
The solution is A.
Angle B is smaller than Angle D which means CD will be smaller than BC.
Answer:
D. tan(-π/6)
Step-by-step explanation:
The tangent function is periodic with a period of π, so ...
tan(5π/6) = tan(5π/6 ± kπ) . . . for any integer k
For k = -1, we have ...
tan(5π/6) = tan(5π/6 -π) = tan(-π/6)
Answer:
the answer is D
Step-by-step explanation:
I don't know how to explain it very well but the line starts at 2 then ends at 8