Easy peasy, this is a representation of differnce of 2 perfect squares
a^2-b^2=(a-b)(a+b)
Setting up the equation
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1)Add two x and four x together on the left side. On the right, add 10 and 7.
6x+3=17-x
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Solve:
2)Add x to both sides.
7x+3=17
3) Minus 3 from both sides
7x=15
Divide 15 by seven.
x=<span> 2.14285714286
</span>Hope this helped! Have a happy holiday!
Options 1 and 3 are the correct answers
The statement gives you the function that models the Area as a function of angle theta, and is telling the value of this angle.
Then, you only need to replace the value of the angle in the function, to obtain the requested area.
<span>A(Θ) = 16 sin Θ • (cos Θ + 1).
Θ = 60°
A(</span>60°<span>) = 16 sin(</span><span>60°) * [cos(</span><span>60°) + 1 ] = 16 * (√3) / 2 * [1/2 + 1] = 8(√3) * 3/2 = 12√3 ≈ 20.79
Answer: 20.8 in^2 </span>
The answer is $10 the first month they can do it