The answer is pi but to fifteen places
Answer:
D. (1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
5x - 2y = 9
3x + 4y = -5
<u>Step 2: Rewrite systems</u>
10x - 4y = 18
3x + 4y = -5
<u>Step 3: Solve for </u><em><u>x</u></em>
- Add to equations together: 13x = 13
- Divide 13 on both sides: x = 1
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: 3x + 4y = -5
- Substitute in <em>x</em>: 3(1) + 4y = -5
- Multiply: 3 + 4y = -5
- Isolate <em>y </em>term: 4y = -8
- Isolate <em>y</em>: y = -2
And we have our final answer!
If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.
If the final equation is a true equation, like 3=3, then the system has an <em>infinite number of solutions </em> (the equations graph the same line, and all points appear on both graphs)
If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)
The last expression shows the sum of three terms. The sum is the amount resulting in addition.
The answer is x + 3 + x
W can be represented in the following equation: 14/tan 38°=w
Since tan 38 equals 0.78128563, we divide 14 by 0.78128563 which gives a value of 17.91
W= 17.91
W+X (which is the whole lenght) can be represented in the equation: w+x=14/tan 19°
So
17.9+X=14/0.34432761
we isolate for x and obtain
X= 40.65-17.9
X=22.75 (which we round to 22.8)
So the answer is option 4:
w = 17.9; x = 22.8