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4 years ago

General solution for cos(5x)-cos(2x)=0

1 answer:

7 0

Simplifying cos(5x) + cos(2x) = 0
(5x) cos * 5x + cos(2x) = 0
 5cos * x + cos(2x) = 0 Multiply cos * x 5cosx + cos(2x) = 0
(2x) 5cosx + cos * 2x = 0
5cosx + 2cos * x = 0 Multiply cos * x 5cosx + 2cosx = 0 5cosx + 2cosx = 7cosx 7cosx = 0 Solving 7cosx = 0 Solving for variable 'c'. cosx = 0 Simplifying cosx = 0

Hope this helps!

In short your answer is 0

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Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

4 0

1 year ago

5 10 — = — s 14 Help!

allsm [11]

The answer to your question is 514

7 0

3 years ago

Find the percent of change 1970's: $0.79 2010's: $3.72

tatyana61 [14]

Answer:

471%

Step-by-step explanation:

If you divide 3.72 by .79 you get 4.7088...

Multiply by 100 to get your percentage is 470.88...

Rounded to nearest percentage is 471

hope this helps

7 0

3 years ago

Which table of ordered pairs represents a linear function? x y −6 26 0 3 6 26 12 101 x y −6 −3 0 3 6 1 12 2 x y −6 −3 0 3 6 9 6

Afina-wow [57]

In each table, the x-values differ by 6. A linear function will also have a constant difference of y-values. Only the 4th table has that.

(x, y) = (-6, -3), (0, 2), (6, 7), (12, 12)

_____

An increase in x by 6 produces an increase in y by 5. The slope of this linear function is 5/6. In slope-intercept form, the equation is y = (5/6)x + 2.

7 0

3 years ago

Read 2 more answers

Two figures are similar. One is 18 inches tall and the second is two feet tall.What is the scale factor. Not a multiple choice q

sladkih [1.3K]

Answer:

3:4

Step-by-step explanation:

Compare the heights: 18 in and 24 in.

Then find the scale factor through division: 18/24 = 3/4 or 3:4

3 0

3 years ago