Answer: See below
Step-by-step explanation:
27. -(a-3)
28. (b-1)(b+3)
29. (c+4)(c+5)
30. d(d+5)
31. -(3/4)(2e-5)
Sorry - I don't have time to enter the details. Look for areas where the expressions can be factored in a manner that forms as many equivalent expressions in both the numerator and denominator.
For example: In problem 30:
(5d-20)/(d^2+d-20) * [??]/20d = 1/4
Factor:
<u>(5(d-4))</u> <u>d(d+5)</u> = 1/4
(d-4)(d+5<u>)</u> 20d
The (d-4), d+5, and d terms cancel, leaving
5/20 = 1/4
It’s D)18 I hope this helps
Answer & Explanation:
To find the direction cosines of the vector a is need to divided the corresponding coordinate of vector by the length of the vector. The coordinates of the unit vector is equal to its direction cosines. Property of direction cosines. The sum of the squares of the direction cosines is equal to one.
Answer:
Step-by-step explanation:
3x - 95 = -4x + 31
3x + 4x = 31 + 95
7x = 126
x = 126/7
x = 18
Answer: $66
Step-by-step explanation:
Area of a rectangular =length*breadth
= 3.2 km * 3.0 km = 9.6km(squared)
Note, 1.6km = 1 mile
Cost of a hiking trail = $11 per mile
Converting kilometer to kill = 9.6km/1.6km = 6 miles
Hence, cost of a hiking trail to surround the rectangular shaped wilderness = $11 * 6 = $66
In case the cost is $11,000 per mile; total cost of hiking trails to surround the wilderness equals $66,000