Which of the following equations represents a line that is perpendicular to y = -2x+4 and passes through the point, (4, 2)?
A. y=-3x +2
B. y - x
O C. y - 3x+4
O D. y = -2x

B) y = 1/2x

Step-by-step explanation:

In a perpendicular line, the slope is the opposite reciprocal.  Thus, the equation can be simplified into y = 1/2x+b.  Then, to get b, simply plug in 4 for x and 2 for y

2=1/2(4)+b

2=2+b

0=b

Thus, the equation of the line is y = 1/2x + 0, or y = 1/2x

Hope it helps <3

x=4

step-by-step explanation:

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)