Answer:
x²/2166784 +y²/2159989 = 1
Step-by-step explanation:
The relationship between the semi-axes and the eccentricity of an ellipse is ...
e = √(1 -b²/a²)
In order to write the desired equation we need to find 'b' from 'e' and 'a'.
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<h3>semi-minor axis</h3>
Squaring the equation for eccentricity gives ...
e² = 1 -b²/a²
Solving for b², we have ...
b²/a² = 1 -e²
b² = a²(1 -e²)
<h3>ellipse equation</h3>
Using the given values, we find ...
b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989
The desired equation is ...
x²/2166784 +y²/2159989 = 1
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
12 because I took the test
Answer:
1,11,13,17,143,187,221,2431
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note that the two equations are equivalent.
2y = 14-2x can be rearranged to y = -x+7, which is the same as the second equation. What you're looking is one line on top of the other.
Every shared point is a solution. Since there are infinitely many points on a line, and these lines share every point, there are infinitely many solutions.
