7,14,21,28,35,42,49,56,63,70,77,84
The numerator could be written a⁴/⁵
The denominator could be written a²/³
Now solve ( a⁴/⁵) / (a²/³) ==> a⁽⁴/⁵ ⁻²/³) = a⁽²/¹⁵)
This is the simplest way
Answer:
27,36,45
Step-by-step explanation:
Pythagorean theorem
![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
![6^{2}+ 9^{2}\\ =117\\\neq 12^{2}](https://tex.z-dn.net/?f=6%5E%7B2%7D%2B%209%5E%7B2%7D%5C%5C%20%3D117%5C%5C%5Cneq%2012%5E%7B2%7D)
![7^{2}+ 10^{2}\\ =149\\\neq 12^{2}](https://tex.z-dn.net/?f=7%5E%7B2%7D%2B%2010%5E%7B2%7D%5C%5C%20%3D149%5C%5C%5Cneq%2012%5E%7B2%7D)
![16^{2}+ 18^{2}\\ =580\\\neq 25^{2}](https://tex.z-dn.net/?f=16%5E%7B2%7D%2B%2018%5E%7B2%7D%5C%5C%20%3D580%5C%5C%5Cneq%2025%5E%7B2%7D)
![27^{2}+ 36^{2}\\ =2025\\= 45^{2}](https://tex.z-dn.net/?f=27%5E%7B2%7D%2B%2036%5E%7B2%7D%5C%5C%20%3D2025%5C%5C%3D%2045%5E%7B2%7D)
Answer:
(a) 36
(b) y = 36x-31
Step-by-step explanation:
(a) dy/dx = 18x
slope of tangent at (2, 41) = 18(2)
= 36
(b) using y-y1 = m(x-x1)
y-41 = 36(x-2)
y = 36x-31
19x - 22 is you combine like terms!