Answer:
F. (0, 5) and (-4, 2)
Step-by-step explanation:
We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:
F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.
Answer:
8 minutes.
Step-by-step explanation:
Let m represent number of minutes.
We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.
So total distance covered by Mike's sister after m minutes would be
.
Mike bikes at a speed of 600 yards per minute, so total distance covered by Mike in minutes would be
.
Now, we will equate both expressions to find minutes at which both distances will be equal as:




Therefore, it will take after 8 minutes for Mike to catch his sister.
Apothem is the height of a triangel formed by two consecutive vertices with the center. the are of this triangle = 1/2 s 8 = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s
Answer:
11. x = 6
12. x = 7
Step-by-step explanation:
11.
16x - 6 = 90
16x = 96
x = 6
12.
12x - 4 = 10x + 10
2x = 14
x = 7