Answer:
512/6561
Step-by-step explanation:
nth term = a×[r^(n-1)]
9th term: n = 9
2×[⅔^(9-1)]
2(⅔^8)
512/6561
Step-by-step explanation:
5z, 5x and 5y are all unlike terms.
If there was something like <em><u>5z</u></em> + 5x <em><u>-</u></em><em><u> </u></em><em><u>3z</u></em> + 5y, then both 5z and -3z have something in common and so therefore are said to be like terms.
Hope my description helps.
Good night.
Answer:
Step-by-step explanation:
Since the denominator of each of those rational exponents is a 4, that means that the radical is a 4th root. The numerator of each exponent serves as the power on the given base. For example,
can be rewritten as
![\sqrt[5]{2^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E3%7D)
The little number that sits outside the radical, resting in the bend, is called the index. Our index is 4 (same as saying the 4th root). Put everything under the 4th root and let the numerator be the powers on each base:
which is written simpler as:
![\sqrt[4]{6b^3c}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B6b%5E3c%7D)
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
Option c (7.8) is the correct alternative.
Step-by-step explanation:
The given points are:
(x₁, y₁) = (2, -3)
(x₂, y₂) = (-4, 2)
As we know,
The distance between two points will be:
= 
On substituting the values, we get
= 
= 
= 
= 
= 
= 