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3 years ago

Solve the system of equations system

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

Answer:

(3, 3 )

Step-by-step explanation:

Given the 2 equations

3x - y = 6 → (1)

6x + y = 21 → (2)

Adding the 2 equations term by term will eliminate y, that is

(6x + 3x) + (y - y) = (21 + 6), that is

9x = 27 (divide both sides by 9 )

x = 3

Substitute x = 3 into either (1) or (2) and solve for y

Using (2), then

(6 × 3) + y = 21

18 + y = 21 ( subtract 18 from both sides )

y = 3

Solution is (3, 3 )

dedylja [7]3 years ago

4 0

Answer:

(3,3)

Step-by-step explanation:

6x+y=21

6x+3x-6=21

9x-6=21

9x-6+6=21+6

9x=27

9x/9 27/9

x=3

y=3x-6

y=(3)(3)-6

y=3

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Find the mean median mode<br> 12,9,12,11,10,18,7,19,13,19

Nady [450]

Mean : The average of all the data in a set.

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Mean = 13 (Average)

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3 years ago

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

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Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

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3 years ago

The measures of the angles in an equilateral triangle are equal.

JulijaS [17]

Answer:

c.60°

Step-by-step explanation:

A triangle has 3 angles. Sum of angles in a triangle is 180 degrees. Three angles of an equilateral triangle are equal

So 180/3 = 60

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2 years ago

Aida makes $9.25 per hour. Aida works 14 hours in one week. At the end of the week, Aida deposits 1/5 of her total income into a

Lina20 [59]

Answer:

$103.6 left

Step-by-step explanation:

First, multiply the amount she earns an hour times how many hours she worked:

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$103.6 is your answer

Hope this helps!

4 0

2 years ago

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lesantik [10]

Answer:

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Step-by-step explanation:

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