the value of y is directly proportional to the value of x. If y= 35 when x=140, what is the value of y when x=70?

17.5

Step-by-step explanation:

first you need to find the relationship between the y and x.

140/35= 4

so then we know that X is four times larger than y

70/4 = 17.5

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)

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.