Answer:
y = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2x - 9y = 11
<em>x</em> = 7
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: 2(7) - 9y = 11
- Multiply: 14 - 9y = 11
- [Subtraction Property of Equality] Subtract 14 on both sides: -9y = -3
- [Division Property of Equality] Divide -9 on both sides: y = 1/3
Answer:
This is a function and it's because there's only one input for every output.
Step-by-step explanation:
Note: Although 5 and 1 both point to the same number this doesn't take away the validity of the function. :)
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
170.5 is the answer from the TI-84
Answer:
h = 10.92 m.
Step-by-step explanation:
The small triangle on the left is similar to the whole triangle, so:
12/20 = h/18.2
h = 12*18.2 / 20
h = 10.92 m.