The Answer is 2/3
Steps: 1/4(1-(2/3^2+1/3)
4 because 9×4=36 and now I need more characters
If you multiply 9 x 3
=27
And multiplying the 10's means that the exponents need to be added
So the answer would be...
27 x 10^8
By some properties of logarithms, rewrite the equation as
so that
(<em>a</em> - 2<em>b</em>)² = <em>ab</em>
Expand the left side:
<em>a</em> ² - 4<em>ab</em> + 4<em>b</em> ² = <em>ab</em>
Rearrange terms to get a quadratic equation in <em>a</em>/<em>b</em> :
<em>a</em> ² - 5<em>ab</em> + 4<em>b</em> ² = 0
<em>b</em> must be greater than 0, otherwise log(<em>b</em>) doesn't exist, and the same goes for <em>a</em>. So we can divide by <em>b</em> ² to get
<em>a</em> ²/<em>b</em> ² - 5<em>a</em>/<em>b</em> + 4 = 0
Factorize and solve for <em>a</em>/<em>b</em> :
(<em>a</em>/<em>b</em> - 4) (<em>a</em>/<em>b</em> - 1) = 0
==> <em>a</em>/<em>b</em> = 4 or <em>a</em>/<em>b</em> = 1
However, if <em>a</em>/<em>b</em> = 1, then <em>a</em> = <em>b</em> makes <em>a</em> - 2<em>b</em> = -<em>b</em>. But we must have <em>b</em> > 0, so we omit the second solution and end up with
<em>a</em>/<em>b</em> = 4
Hello!
<h2>Answer:</h2><h2 />
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<h2>Explanation:</h2>
To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.
Outer:
A = bh
A = (12 · 5)
A = (60)
A = 30 mm²
Inner:
A = bh
A = (4 · 3)
A = (12)
A = 6
30 - 6 = 24