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3 years ago

Plz help!

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

Answer:

5x - y = 27

Step-by-step explanation:

Slope is the direction of line and it is calculated as,

$Slope = \frac{y-y_{1}}{x-x_{1}}
$

where (x₁, y₁) is any two points on the line.

Here, we have given that

Slope = 5 and (x₁, y₁) = (5, -2)

∴ $5 = \frac{y-(-2)}{x-5}
$

⇒ 5(x - 5) = y + 2

⇒ 5x - 25 = y + 2

⇒ 5x - y = 27

Hence, the equation of a line is: 5x - y = 27

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Doss [256]

Change in April's weight is -7

Solution:

Let the initial weight be "x"

April lost 5 pounds in her first week of college

First week = lost 5 pounds

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Next three week:

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Therefore, weight after 4 weeks is given as:

x - 5 - 3 + 2 - 1 = x -7

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The change in April weight is given as:

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3 years ago

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Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

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$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
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4 years ago

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jarptica [38.1K]

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Step-by-step explanation:

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Reference angle for 255 is,

255 - 180 = 75 degrees.

Therefore, sec (255) = sec (75)

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3 years ago

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pentagon [3]

Answer:

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Step-by-step explanation:

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$y \alpha x$

introducing a constant

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substitute it in the formula

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