Solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-5x=12

x = -1.77, 6.77.

Step-by-step explanation:

x^2 - 5x =  12

(x - 2.5)^2 - 6.25 = 12

(x - 2.5)^2 = 18.25

x - 2.5 = +/- √18.25

x =  2.5 +/- √18.25

x = -1.77, 6.77.

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)

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: