SOLUTION
The given expression is:
![-5\sqrt[]{147\times r^{13}\times s^8}](https://tex.z-dn.net/?f=-5%5Csqrt%5B%5D%7B147%5Ctimes%20r%5E%7B13%7D%5Ctimes%20s%5E8%7D)
Rewrite the expression
![-5\sqrt[]{49\times3\times r^{12}\times r^1\times s^{4\times2}}](https://tex.z-dn.net/?f=-5%5Csqrt%5B%5D%7B49%5Ctimes3%5Ctimes%20r%5E%7B12%7D%5Ctimes%20r%5E1%5Ctimes%20s%5E%7B4%5Ctimes2%7D%7D)
This further give
![\begin{gathered} -5\sqrt[]{49\times3\times(r^6)^2\times r^1\times(s^4)^2} \\ =-5\times7\times r^6\times s^4\sqrt[]{3\times r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-5%5Csqrt%5B%5D%7B49%5Ctimes3%5Ctimes%28r%5E6%29%5E2%5Ctimes%20r%5E1%5Ctimes%28s%5E4%29%5E2%7D%20%5C%5C%20%3D-5%5Ctimes7%5Ctimes%20r%5E6%5Ctimes%20s%5E4%5Csqrt%5B%5D%7B3%5Ctimes%20r%7D%20%5C%5C%20%3D-35r%5E6s%5E4%5Csqrt%5B%5D%7B3r%7D%20%5Cend%7Bgathered%7D)
Therefore, the solution is
Answer: -3x^4-4
Step-by-step explanation: -3x^4+4-8 > =-3x^4-4
Answer:
$192
Step-by-step explanation:
2400/48=50
50x3.84=192
Answer:
Step-by-step explanation:
1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 10² + 24²
h = √676
h = 26
(b). Hypotenuse² = (Leg 1)² + (Leg 2)²
(25)² = (15)² + (leg 2)²
Leg 2 = √(625 - 225)
= √400
= 20
(c). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 4² + 6²
h = √(16 + 36)
h = √52
h = 2√13
(d). Hypotenuse² = (Leg 1)² + (Leg 2)²
(14)² = (Leg 1)² + 7²
Leg 1 = √(196 - 49)
= √147
= 7√3
2). Hypotenuse² = (Leg 1)² + (Leg 2)²
Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]
h² = 7² + 7²
h = √98
h = 7√2
Option (1) is the correct option.
3). Hypotenuse² = (Leg 1)² + (Leg 2)²
(26)² = (Leg 1)² + (10)²
Leg 1 = √(676 - 100) = 24
Area of a right triangle = 
= 
= 120 square units
Option (3) is the correct option.