Answer:
slope is 2 and y-intercept is 5
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
<u>First convert years to months: 3 years = 36</u>
24:36
<u>Then simplify the ratio</u>
24:36
24/2:36/2
12/2:18/2
6/3:9/3
2:3
Answer: 2:3
Recall the half-angle identity:
So in order to find
, we only need to know the value of
. But there are two possible values. To decide which to take, we use the given information: we know that
lies in quadrant III, which means
, so
, which places
in quadrant II. In this quadrant, the sine of angle is positive, and so
is an angle of a ray whose terminal point,
lies on the circle
. The
-coordinate is all we need to know in order to find that
. So,
That is a rational number since you can write it as a ratio (=fraction).
30 + 1x = 18 + 5x
subtract 18 from both sides
30 - 18 + 1x = 18 - 18 + 5x
12 + 1x = 5x
subtract 1x from both sides
12 + 1x - 1x = 5x - 1x
12 = 4x
To clear the multiplication by 4, divide both sides by 4
12/4 = 4x/4
3 = x
It will take 3 months until they have the same amount of CD's
They will each have 33 CD's
