4 years ago

Solve: 1/3a2 - 1/a =1/6a2 The solution is a =

Mathematics

2 answers:

aleksklad [387]4 years ago

8 0

Solve the rational equation by combining expressions and isolating the variable aa.

a≈−0.16641103,1.49400147

Flura [38]4 years ago

4 0

Answer:

a= 1/6 is the correct answer.

Step-by-step explanation:

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You went to the mall with $80. You spent 25% of your money on a pair of shorts and 65% of the remainder on sandals. How much did

swat32

25% of 80 is 20
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3 years ago

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The length of a line segment is 7. Its end points are (1, 3) and (k, 3). Solve for k. Is there more than one solution? Explain.

Brilliant_brown [7]

$Endpoints:\\\\A(1,3)\ and\ B(k,3)\\\\Formula\ for\ length\ of\ line:\\\\
|AB|=\sqrt{(x_b-x_a)^2+(y_b-y_a)^2}\\\\
|AB|=7\\\\7=\sqrt{(k-1)^2+(3-3)^2}\\\\
7=\sqrt{k^2-2k-1}\ \ |^2\\\\
49=k^2-2k-1
$ $49=k^2-2k-1\\\\
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-k^2+2k+50=0\\\\ \Delta=b^2-4ac\\\\a=-1,\ b=2,\ c=50 \\\\\Delta=(2)^2-4*(-1)*50=4-=4+200=204\\\\ \sqrt{\Delta}=2\sqrt{51}$ $\\\\k_1=\frac{-b-\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2-2\sqrt{51}}{2*(-1)}=1+\sqrt{51} \\\\\ or\ k_2=\frac{-b+\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2+2\sqrt{51}}{2*(-1)}=1-\sqrt{51}$