3 years ago

A club has members from three grades.

1 answer:

7 0

the ratio is 24:30

or the simplified version is 4:5

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PSYCHO15rus [73]

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3 years ago

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,

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

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

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

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

$\Rightarrow 12h-5k=\pm 14$

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

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

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

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

3 years ago

zzz [600]

7*3=21....The first number they would both share would be 7

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4 years ago

Gnesinka [82]

Point M bisects Line RS. The length of RS is also 44 because RM and MS are congruent and MS has a length of 22.

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3 years ago

Effectus [21]

2. 225
4. 25/36
6. 0.001
8. 8-20=-12
10. 34-16=18
12. 15/5=3^3=27
14. ?? confused...
16. 8
18. 11.5+4=15.5
20. 3(225)+10=675+10=685

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3 years ago