3 years ago

PLEASEEEE HELPPPP IF CORRECT I WILL MARK YOU BRAINLIEST

Mathematics

1 answer:

Tems11 [23]3 years ago

5 0

810in2
REMEMBER
Area of triangle is (base times height divided by 2)
Area on rectangle is length times height

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2/3 is less than 4/5 true or false

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Step-by-step explanation:

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A rectangular prism has a base area of 2 square feet and a height of 5 feet. What

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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.

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<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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The furniture store where Jada's sister works bought a table for $200 and sold it for $350. What percentage was the markup? I wa

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Answer:

divide 350 by 200

Step-by-step explanation:

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