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blondinia [14]
2 years ago
15

Bryan interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table show

s his data. How many of the students interviewed do not collect sports cards?
Mathematics
2 answers:
mr Goodwill [35]2 years ago
7 0
Since the sports card collecting and sports participation is directly proportional.
So,
∴6/3 = x/7
⇒2 = x/7
⇒x=14
∴14 students interviewed do not collect sports cards. Option (C) is correct
Sphinxa [80]2 years ago
5 0
14 students will be your correct answer.
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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

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\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

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3 years ago
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y=4x

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2.) The volume of water required to fill the tank from it's current level is

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