Answer:
Step-by-step explanation:
probability ∈[0,1]
or probability ≥0
and ≤1
so a,b,g cannot be the probability of an event.
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Hello from MrBillDoesMath!
Answer: y = 2x - 7
Discussion:
Divide both sides of the equation by 2:
2y /2 = (4x-14)/2 = 4x/2 -14/2
or
y = 2x - 7
Thank you,
MrB
Polar coordinates (r,ϑ) and Cartesian coordinates (x,y) are related as follows:
Cartesian -> Polar
x = r cos(ϑ)
y = r sin(ϑ)
Polar -> Cartesian
r^2 = x^2 + y^2
ϑ = arctan( y/x)
The polar coo's can be extended to cylindrical by introduction a dimension z - which is perpendicular to the polar plane, it follows that:
z = z
in between the systems (r,ϑ,z) and (x,y,z)
The polar coordinates are particularly useful when a problem has circular or cylindrical symmetry, i.e. it is usually "easier" to perform calculations on a circle (for example) using the polar coordinates.
Answer:
(-1, 4)
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>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Add 2 equations together: 9x = -9
- Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -x - 6y = -23
- Substitute in <em>x</em>: -(-1) - 6y = -23
- Multiply: 1 - 6y = -23
- Subtract 1 on both sides: -6y = -24
- Divide -6 on both sides: y = 4
