Answer:
- D(5, 4), E(14, 7), M(9.5, 5.5)
Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
<u>Find the coordinates of D:</u>
- x = 1 + 1/4(17 - 1) = 1 + 4 = 5
- y = 5 + 1/4(1 - 5) = 5 - 1 = 4
<u>Find the coordinates of E:</u>
- x = 13 + 1/4(17 - 13) = 13 + 1 = 14
- y = 9 + 1/4(1 - 9) = 9 - 2 = 7
<u>Find the coordinates of the midpoint M of DE:</u>
- x = (5 + 14)/2 = 19/2 = 9.5
- y = (4 + 7)/2 = 11/2 = 5.5
Answer:
26.8°
Step-by-step explanation:
The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.
If cos B = 0.8926
then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.
B = cos-1 0.8926
= 26.8°
Answer:
the answer is the first one, Cara multiplied only 4 and 7 together and did not multiply 4 and 13
Step-by-step explanation:
if you look through the question you can see that Cara evaluated the (-4)^2 correctly because a negative multiplied by a negative gives you a positive thus (-4)*(-4)= 16, then next you can see that Cara subtracted 2 from 6 correctly because (6-2)= (4), and last but not least Cara did multiply 2 by 4 correctly because 2*4 or 2(4) =8 so as you can see the answer is the first one
Answer:
Step-by-step explanation:
midline: y = -2 (take the average of the min and max)
amplitude = 1.5 (distance from min or max to midline. Always a positive number)
period = 4pi
