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3 years ago

Three-fourths of an inch on a map equals 750 miles. what would one inch equal?

1 answer:

7 0

To answer this question we can make the following rule of three:
3/4 ---> 750
1 ------> x
We clear the value of x:
x = (1 / (3/4)) * (750)
x = (4/3) * (750)
x = 1000
Answer:
one inch would be equal to
x = 1000 miles

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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,

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

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

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

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

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

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

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

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

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2 years ago

Please help with right answers xoxo

ludmilkaskok [199]

Y = 3x - 4

y = 3(-1) - 4
y = -3 - 4 = -7
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y = 3(0) - 4
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Graph pair is (0, -4)

y = 3(2) - 4
y = 6 - 4 = 2
Graph pair is (2, 2)

y = 3(4) - 4
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Graph pair is (4, 8)

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