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Nadya [2.5K]
2 years ago
13

Y + 3y + 5y = -18 what is the value of y

Mathematics
1 answer:
ANEK [815]2 years ago
7 0

Answer:

y = -2

Step-by-step explanation:

Step 1: Combine like terms.

  • (y+3y+5y)=-18
  • 9y=-18

Step 2: Divide both sides by 9.

  • 9y/9=-18/9
  • y=-2

Step 3: Check if solution is correct.

  • -2+3(-2)+5(-2)=-18
  • -2-6-10=-18
  • -18=-18

Therefore, y = -2.

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Answer:

27,77

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3 years ago
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

\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.

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Answer:

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substituting

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the wildcats scores 24 more than twice the number of points that the stallions scored. Altogether, the two teams scored a total
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Answer:

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Step-by-step explanation:

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