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3 years ago

If 4x-3=13, then 4x=16

Mathematics

2 answers:

daser333 [38]3 years ago

5 0

True (you split it down the middle and then make it so 4x are the only variables on the left side)

mr Goodwill [35]3 years ago

3 0

Answer:

True!

Step-by-step explanation:

4x - 3 = 13

Add 3 to both sides;

4x = 16

Divide both sides by 4;

x = 4

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Which postulate can be used to prove that the two triangles below are Congruent?

Eddi Din [679]

A
angle vtu is congruent to rts and the rest is given

8 0

3 years ago

Read 2 more answers

g Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 7yi + xzj + (

Sati [7]

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

where $S$ is any oriented surface with boundary $C$ . We have

$\vec F(x,y,z)=7y\,\vec\imath+xz\,\vec\jmath+(x+y)\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=(1-x)\,\vec\imath-\vec\jmath+(z-7)\,\vec k$

Take $S$ to be the ellipse that lies in the plane $z=y+9$ with boundary on the cylinder $x^2+y^2=1$ . Parameterize $S$ by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(u\sin v+9)\,\vec k$

with $0\le u\le1$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec s_u\times\vec s_v=-u\,\vec\jmath+u\,\vec k$

Then we have

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{2\pi}\int_0^1\big((1-u\cos v)\,\vec\imath-\vec\jmath+(u\sin v+2)\,\vec k\big)\cdot\big(-u\,\vec\jmath+u\,\vec k\big)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^1(3u+u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{3\pi}$

5 0

3 years ago

A parallelogram is shown below:

nordsb [41]

9514 1404 393

Answer:

A. 2 square feet

B. draw a diagonal; 1 square foot

Step-by-step explanation:

A. The area of a parallelogram is given by the formula ...

A = bh

Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...

A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram

B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...

A = 1/2bh

Using the given dimensions, ...

A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle

7 0

3 years ago

What is forty nine eight hundred and one ten thousands in a decimal

GREYUIT [131]

Answer:, 49.010000.

Step-by-step explanation:

5 0

3 years ago

Okay can you please help me do this

sertanlavr [38]

Answer:

y=3

Step-by-step explanation:

Multiply 9 from both sides to cancel it out.

-27=-y/9

/9 /9

-3=-y

We can't have a negative variable, so we divide -1 from both sides.

-3=-y

/-1 /-1\

3=y

-hope it helps

7 0

2 years ago