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2 years ago

Write the equation of a line that has a slope of -2 and goes through point (1, 2).

Mathematics

1 answer:

Roman55 [17]2 years ago

7 0

Answer:

y = -2x + 4

Step-by-step explanation:

Equation in point slope form:

y - 2 = -2(x - 1)

y - 2 = -2x + 2

y = -2x + 4 ..............<------------------------------- slope intercept form

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

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3 years ago

Are you from Tennessee cause your the only 10 I see... respond pls I’m desperate...

grandymaker [24]

Answer:

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Step-by-step explanation:

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2 years ago

What is the volume of the rectangular prism? A prism has a length of 6 meters, height of 4.5 meters, and width of 5.5 meters. 16

Sidana [21]

Answer:

148.5 meters^3

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

V=l*w*h

The length is 6 meters. The height is 4.5 meters. The width is 5.5 meters. Substitute these values into the formula.

V=6*5.5*4.5

Multiply all the values together

V=33*4.5

V=148.5

Add appropriate units. Volume uses units^3 and the units are meters.

V=148.5 meters^3

The volume of the rectangular prism is 148.5 cubic meters.

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3 years ago

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Draw the graph of 3x+2y+6

Elanso [62]

Answer:

cymath.com

Step-by-step explanation:

you can solve other equations there as well

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2 years ago

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borishaifa [10]

Answer:

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2 years ago