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4 years ago

8x - 2 = 3x + 11 how many solutions does it have?

Mathematics

2 answers:

sweet-ann [11.9K]4 years ago

7 0

The answer is one solution

Natasha2012 [34]4 years ago

3 0

Answer:

x equal 13/5

Step-by-step explanation:

8x-2-3x equal 3x + 11 - 3x

5x-2 equal 11

5x-2+2 equal 11 + 2

5x equal 13

5x/5 equal 13/5

x equal 13/5

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1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

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$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

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