Answer:
D. d = 5
Step-by-step explanation:
d = d² - d¹
= 5 - 0
= 5
d = d³ - d⁴
= 10 - 5
= 5
d = dⁿ - dⁿ-¹
Answer:
(1, 3 )
Step-by-step explanation:
To find a solution choose a value for x, substitute into the equation and solve for y.
let x = 1 , then
- 7(1) + 3y = 2 , that is
- 7 + 3y = 2 ( add 7 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
One possible solution is therefore (1, 3 )
Answer:
![116^o](https://tex.z-dn.net/?f=116%5Eo)
Step-by-step explanation:
All triangles equal
. Therefore, in order to find the value of
, all you will have to do is subtract
from
.
![180^o-64^o=116^o](https://tex.z-dn.net/?f=180%5Eo-64%5Eo%3D116%5Eo)
![x^o=116^o](https://tex.z-dn.net/?f=x%5Eo%3D116%5Eo)
19 and 42 are coprime, so we can use the CRT right away. Start with
![x=19+42](https://tex.z-dn.net/?f=x%3D19%2B42)
Taken mod 42, we're left with a remainder of 19. Notice that
![19\cdot3\equiv57\equiv15\pmod{42}](https://tex.z-dn.net/?f=19%5Ccdot3%5Cequiv57%5Cequiv15%5Cpmod%7B42%7D)
so we need to multiply the first term by 3 to get the remainder we want.
![x=19\cdot3+42](https://tex.z-dn.net/?f=x%3D19%5Ccdot3%2B42)
Next, taken mod 19, we're left with a remainder of 4. Notice that
![42\cdot6\equiv252\equiv5\pmod{19}](https://tex.z-dn.net/?f=42%5Ccdot6%5Cequiv252%5Cequiv5%5Cpmod%7B19%7D)
so we need to multiply the second term by 6.
Then by the CRT, we have
![x\equiv19\cdot3+42\cdot6\equiv309\pmod{42\cdot19}\implies x\equiv309\pmod{798}](https://tex.z-dn.net/?f=x%5Cequiv19%5Ccdot3%2B42%5Ccdot6%5Cequiv309%5Cpmod%7B42%5Ccdot19%7D%5Cimplies%20x%5Cequiv309%5Cpmod%7B798%7D)
so that any solution of the form
is a solution to this system.
Answer: b 96 plus 160 cm
Step-by-step explanation: