2x^2 + 3x + 8 = 0
Answer: B) -3 + I √55 over 4.
Answer:
19. Opposite of a Difference ↔ E. -(8 - 3·m) = 3·m - 8
20. Opposite of a sum ↔ A. -[(-r) + 2p] = -(-r) - 2p
21. Opposite of an Opposite ↔ F. -1[ -1(9 - 2w)] = 9 - 2w
22. Multiplication by 0 ↔ B. 160 - (3d + 2)(0) = 160 - 0
23. Multiplication by ↔ D. -1 -(4r + 3s) + t = (-1)(4r + 3s) + t
21. Distributive property ↔ C. 5(2 - x) = 10 - 5x
Step-by-step explanation:
19. Opposite of a difference is the difference of the opposites
20. Opposite of a sum is the sum if the opposites
21. Opposite of an opposite is the original number
22. Multiplication by 0- The result of multiplication by 0 is 0
23. Multiplication by -1 results in the change in sign of a number
24. Distributive property - Multiplying the sum or difference of two numbers by a number, will have the same result as multiplying each each of the addends by the number individually and adding the product together.
Answer:
115.47 feet
Step-by-step explanation:
You know the relation between opposite and adjacent sides of an angle in a right triangle is ...
Tan = Opposite/Adjacent
If the "adjacent" side of the angle of elevation is the distance of the man from the building, we have ...
tan(30°) = (100 ft)/d1
and
tan(60°) = (100 ft)/d2
Solving these equations for d1 and d2 gives ...
d1 = (100 ft)/tan(30°)
d2 = (100 ft)/tan(60°)
Then the distance between the two men is ...
d = d1 -d2 = (100 ft)(1/tan(30°) -1/tan(60°)) ≈ 115.47 ft
The distance between the two men is about 115 feet.
