Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15
Given:
The given sequence is:

To find:
The recursive formula for
, the nth term of the sequence.
Solution:
We have,

Here, the first term is 5.



The common difference is -7.
The recursive formula for the nth term of the sequence is

Where,
is the common difference.
Putting
in the above formula, we get


Therefore, the recursive formula for the nth term of the sequence is
.
I’m going to use Pythagorus theorem for his question. // firstly I would do 20^2 + 16^2 = 656 // we them square root that number, so the square root of 656 is 25.61, meaning the missing length is 25.6
Equate real part and imaginary part:
LHS:
real part -- 12
imaginary part -- 5y
RHS:
real part = 4x
imaginary part = 25
Equating::
12 = 4x
x = 12/4
x = 3
Again:
5y = 25
y = 25/5
y = 5
So,
x = 3
y = 5