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3 years ago

Write the expression below as the product of two factors.m · 6+ k · 6

Mathematics

2 answers:

Murrr4er [49]3 years ago

5 0

Answer:

I think that it is 6(m times 1 + k times 6)

Step-by-step explanation:

WARRIOR [948]3 years ago

3 0

Answer:

$6m+6k=6(m+k)$

Step-by-step explanation:

The given expression is

$6m+6k$

Here we can extract the common factor, which is 6

$6(m+k)$

Therefore, the equivalen expression in two factor is

$6(m+k)$

Actually, there's no other way to express it in two factors, because the only thing we can do is to extract the common factor and that's it.

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How do you find the parameterization of a helix?

Marina CMI [18]

Answer:

$\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.$

Step-by-step explanation:

A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).

The parametrization for the helix is

$\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.,$

where $r$ is the radius of the helix, $a$ is the constant, and $t\in [0,2\pi )$ is the parameter

7 0

3 years ago

Mary wants to find the area of the rectangle below.

jek_recluse [69]

So first find the area
area=legnth times width
area=5/6 times 1/6
5/6 times 1/6=5/36
area=5/36 square units

tile=side legnth 1/6
area of tile=legnth times width or legnth times legnth
1/6 times 1/6=1/36
we must find how many times 1/36 goes into 5/36
divide 5/36 by 1/36
5/36 divided by 1/36=5/36 times 36/1=5/1 times 36/36=5/1 times 1=5

the answer is 5 unit squares needed to tile

4 0

3 years ago

A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below

Alja [10]

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

5 0

2 years ago

A student solved for the radius of a circle with a circumference of 12π

padilas [110]

Answer:

Step 4 is incorrect he did not divide correctly from step3 to step 4

Step-by-step explanation:

The circumference of a circle is

C = 2 * pi *r

We know the circumference is 12 pi

12pi = 2 pi *r

Divide each side by 2 pi

12 pi/2pi = 2pi r/ 2pi

6 = r

From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r

In step 4 he got 6 =pi r instead of pi

3 0

2 years ago

Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5

ICE Princess25 [194]

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

$-3y=-4x+5$ and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

$y=\frac{4}{3}x-\frac{5}{3}$ So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):