3 years ago

A system of equations is shown below.

Mathematics

1 answer:

Mazyrski [523]3 years ago

6 0

Answer:

Step-by-step explanation:

x² + 6x - 8 = 4x + 7

x² + 2x - 15 = 0

(x+5)(x-3) = 0

x = -5, 3

y = 4x + 7 = -13, 19

-13 + 19 = 6

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

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

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

3 years ago

Need help with this one

Simora [160]

Answer:

try c

Step-by-step explanation:

6 0

3 years ago

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What is the measure of ZBVE?A2608751V8moRA. 75°B. 1350C. 60°D. 45°

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1 year ago

a baker orders 162 eggs. each cartoon contains 18 eggs. which equation can you use to find the number x of cartoons?

Oxana [17]

18x = 162

x = 9

There are 9 cartons filled with 18 eggs each, which is 162 eggs in total.

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3 years ago

Please help not sure what to do

yawa3891 [41]

Answer:

3x12 theres 3 cirs and 6÷4 so 3x12

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3 years ago