10 points. Solve for g. Will give brainliest to first correct answer 22 (g

Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x

bonufazy [111]

Answer:

y=

1

2

x;−3y=4+

1

2

x

Rewrite equations:

y=

1

2

x;−3y=

1

2

x+4

Step: Solvey=

1

2

xfor y:

y=

1

2

x

Step: Substitute

1

2

xforyin−3y=

1

2

x+4:

−3y=

1

2

x+4

−3

1

2

x=

1

2

x+4

−3

2

x=

1

2

x+4(Simplify both sides of the equation)

−3

2

x+

−1

2

x=

1

2

x+4+

−1

2

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

=

4

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

1

2

x:

y=

1

2

x

y=

1

2

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

5 0

3 years ago

Read 2 more answers

Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the

ludmilkaskok [199]

By Stokes' theorem,

$\displaystyle\int_{\partial\mathcal M}\mathbf f\cdot\mathrm d\mathbf r=\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S$

where $\mathcal C$ is the circular boundary of the hemisphere $\mathcal M$ in the $y$ - $z$ plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting

$\mathbf r(t)=\langle 0,3\cos t,3\sin t\rangle$

where $0\le t\le2\pi$ . Then the line integral is

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d}{\mathrm dt}\langle x(t),y(t),z(t)\rangle\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}\langle0,0,3\cos t\rangle\cdot\langle0,-3\sin t,3\cos t\rangle\,\mathrm dt=9\int_0^{2\pi}\cos^2t\,\mathrm dt=9\pi$

We can check this result by evaluating the equivalent surface integral. We have

$\nabla\times\mathbf f=\langle1,0,0\rangle$

and we can parameterize $\mathcal M$ by

$\mathbf s(u,v)=\langle3\cos v,3\cos u\sin v,3\sin u\sin v\rangle$

so that

$\mathrm d\mathbf S=(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv=\langle9\cos v\sin v,9\cos u\sin^2v,9\sin u\sin^2v\rangle\,\mathrm du\,\mathrm dv$

where $0\le v\le\dfrac\pi2$ and $0\le u\le2\pi$ . Then,

$\displaystyle\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S=\int_{v=0}^{v=\pi/2}\int_{u=0}^{u=2\pi}9\cos v\sin v\,\mathrm du\,\mathrm dv=9\pi$

as expected.

7 0

3 years ago

G(x)=-3x-8 g( )=10 what does x equal?

Nikolay [14]

Answer: X = 24/G

G = 24/x

Step-by-step explanation:

6 0

3 years ago

-1/3 + (-7/4) pls help

djverab [1.8K]

Answer:

-25

——— = -2.08333

12

Step-by-step explanation:

Step 1 :

7

Simplify —

4

Equation at the end of step 1 :

1 7

(0 - —) + (0 - —)

3 4

Step 2 :

1

Simplify —

3

Equation at the end of step 2 :

1 -7

(0 - —) + ——

3 4

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 4

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors 3 4 12

Least Common Multiple:

12

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 4

Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. -1 • 4

—————————————————— = ——————

L.C.M 12

R. Mult. • R. Num. -7 • 3

—————————————————— = ——————

L.C.M 12

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-1 • 4 + -7 • 3 -25

——————————————— = ———

12 12

Final result :

-25

——— = -2.08333

12

Processing ends successfully

plz mark me as brainliest :)

7 0

3 years ago

Read 2 more answers

The area of the trapezoid is 24 in.2. True or false

Lorico [155]

Answer:

The answer is true

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2

3 0

3 years ago

10 points. Solve for g. Will give brainliest to first correct answer 22 (g - 1) = 2g + 8