2.) line passes through points (-1, -4) and (0, -1)
slope = (y2 - y1)/(x2 - x1) = (-1 - (-4))/(0 - (-1)) = (-1 + 4)/(0 + 1) = 3/1 = 3
4.) line passes through points (0, -3) and (2, 0)
slope = (0 - (-3))/(2 - 0) = (0 + 3)/2 = 3/2
Answer:
Hi
Step-by-step explanation:
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Answer:
68%
Step-by-step explanation:
The increase is (62 - 37), or 25, ounces. Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio). Multiplying this ratio by 100%, we get 68% (to the nearest percent).
Answer:
theta = 0.245 radian or 14 degrees
Step-by-step explanation:
Note that the tangent of the angle theta is opp/adj = 12/48 = 1/4.
Using the inverse tangent function on a calculator, evaluate the above:
tan theta = 1/4 = 0.25. Then theta = 0.245 radian or 14 degrees, approximately