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torisob [31]
3 years ago
15

Solve the system x-2y+2z=9 y+2z=5 z=3 Enter the answer as an ordered triple, (X,Y,Z)

Mathematics
2 answers:
likoan [24]3 years ago
5 0
The answer is (1, -1, 3)
enot [183]3 years ago
4 0

The last equation says <em>z</em> = 3, so that in the second equation we get

<em>y</em> + 2<em>z</em> = <em>y</em> + 6 = 5   ==>   <em>y</em> = -1

and in turn, the first equation tells us

<em>x</em> - 2<em>y</em> + 2<em>z</em> = <em>x</em> + 2 + 6 = <em>x</em> + 8 = 9   ==>   <em>x</em> = 1

So the solution to the system is (<em>x</em>, <em>y</em>, <em>z</em>) = (1, -1, 3).

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Step-by-step explanation:

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3 0
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Step-by-step explanation:

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Find the volume of the composite figure to the nearest tenth. Use 3.14 for pi.
Vilka [71]

Given:

In the given fig,

The radius of the cylinder = 15 ft

The height of the cylinder = 26 ft

The height of the cone = 21 ft

The radius of the cone = 15 ft

To find the volume of the cone, the volume of the cylinder and the composite figure.

Formula

The volume of the given composite fig is

V = V_{1} +V_{2}

where, V_{1} be the volume of the cone.

V_{2} be the volume of the cylinder.

V_{1} = \frac{1}{3} \pi r^{2} h, r be the radius and h be the height.

V_{2} = \pi r^{2} h, r be the radius and h be the height.

Now,

Putting, r = 15, h = 21 and π = 3.14 we get,

V_{1} = \frac{1}{3} (3.14)(15^{2} )(21) cube ft

V_{1} = 4945.5 cube ft

Again,

Putting,

V_{2} = (3.14)(15^{2} )(26) cube ft

V_{2} = 18369 cube ft

Therefore, the volume of the composite fig = (4945.5+18369) cube ft = 23314.5 cube ft

Hence,

a) The volume of the cone is 4945.5 cube ft.

b) The volume of the cylinder is 18369 cube ft.

c) The volume of the composite figure is 23314.5 cube ft.

3 0
3 years ago
Please help me i can't seem to get it
olchik [2.2K]

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Step-by-step explanation:

7 0
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Read 2 more answers
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Scrat [10]

Answer:

(0,-8/3)

Step-by-step explanation:

2x-3y=8

x-3y=8

Multiply the second equation by -1 and add together

2x-3y=8

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---------------------

x +0y =0

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Now we can find y

2x -3y =8

0-3y =8

Divide by -3

-3y/-3 = 8/-3

y = -8/3

(0,-8/3)

3 0
3 years ago
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