Answer:
It's going to be the second option!
Step-by-step explanation:
If you simplify the original equation, it ends up being (xy^4)/6 which is the same as the second option if it were also simplified.
Given two angles of a triangle, we can find the third one by subtracting what we have from 180:
180-63.2-75.9=40.9°. This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.
Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.
Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR. These sides are not parallel to any other sides of this figure.
For the last problem, the vertices given do not form a parallelogram. There is only 1 pair of parallel sides using these points.
ANSWER
D.

EXPLANATION
The given function is

Comparing to the general form of a trigonometric sine function,


The amplitude is absolute value of A


The period is given by



is a shift to the right of 4 units.
and

is an upward shift of 9 units
Therefore the phase shift is (4,9).
The correct answer is D
Answer: 3/8
Step-by-step explanation:
1/2 is also 4/8 so you subtract 4/8 from 7/8 to get 3/8
Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.
Karens distance = r * 1.5 hrs we dont know her rate
Nancy distance = 50 * 1 hr we know she started 30 min later
but arrived at the same time
since the distances are equal
r*1.5 = 50 * 1 all you have to do is solve for r
1.5r = 50
r = 50/1.5
r = 33 1/3 miles per hour