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3 years ago

In the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?

Mathematics

1 answer:

o-na [289]3 years ago

5 0

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

$4x+7y=9$ [subtract both sides by 4x]

$7y=-4x+9$ [divide both sides by 7]

$y=-\frac{4}{7}x+\frac{9}{7}$

Now, we know the slope is -4/7.

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2 years ago

A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)

$A=\frac{R^2}{2} (\alpha -sin\alpha )$

$\alpha =2arccos(\frac{d}{R})$

3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians

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