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Amiraneli [1.4K]

3 years ago

5

Chris spent a total of $53.07 buying art supplies. He bought a package of drawing paper for $24.75, and bought 12 brushes. What

was the price per brush?

1 answer:

zalisa [80]3 years ago

3 0

2.36 is the answer because if you subtract 24.75 from 53.07 and then divide your answer by 12 is how you get your answer

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b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

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This is a circle with center;

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This implies that;

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When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

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We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

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The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

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Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

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Firdavs [7]

X=7
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