Answer:
(x, y) = (10, - 1)
Step-by-step explanation:
given the 2 equations
3y = -
x + 2 → (1)
y = - x + 9 → (2)
substitute y = - x + 9 into (1)
3(- x + 9) = -
x + 2
- 3x + 27 = -
x + 2
add
x to both sides
-
x + 27 = 2 ( subtract 27 from both sides )
-
x = - 25
multiply both sides by 2 and divide by - 5
x = 10
solution (10, - 1)
9514 1404 393
Answer:
E. 31.64
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:
Tan = Opposite/Adjacent
You are given trig values for 36°. That means ...
tan(36°) = 23/x
x = 23/0.727 ≈ 31.64
Answer:

Step-by-step explanation:
The given series is

The first term is

The last term is

To find the number of terms in the sequence, solve,


The sum of the first i-terms of an arithmetic sequence is:

We substitute the values to get;



The answer that you are looking for is 215