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Oksi-84 [34.3K]
3 years ago
10

Write the product cos(2x)sin(5x) as a sum

Mathematics
1 answer:
ratelena [41]3 years ago
8 0
Come on now, check your book on the "product to sum" identities

\bf cos({{ \alpha}})sin({{ \beta}})=\cfrac{1}{2}[sin({{ \alpha}}+{{ \beta}})\quad -\quad sin({{ \alpha}}-{{ \beta}})]
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Point A is located at ​(4, 8)​ and point B is located at ​(14, 10)​ . What point partitions the directed line segment ​ AB⎯⎯⎯⎯⎯
andrew11 [14]

The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.

The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:

... (6 1/2, 8 1/2)

7 0
3 years ago
Slove for x 2m-nx=x+4
Svetach [21]
Answer:

Therefore, x = -2m+4/-n-1
6 0
3 years ago
A corn silo contains 8,250 cubic feet of corn before it is
QveST [7]

Answer:

V=8250-18*c

Step-by-step explanation:

The equation will be:

V=8250-18*c

Where:

  • V is the volume of corn in the silo after loading begins.
  • 8250 is the initial volumen on the silo before the loading begins.
  • 18 is the 18 cubic feet per hour given as rate of loading.
  • c is the number of hour elapsed after loading begins.

To find the volume, V, of the  corn in the silo c hours after loading begins, we substract from the initial volume the quantity of corn loaded and this is 18*c, that is the number of hour elapsed multiplyed by the rate of loading.

5 0
3 years ago
Whats the slope intercept form for the points [5,2] and [0,-1]
Advocard [28]

Answer:

\displaystyle y=\frac{3}{5}x-1

Step-by-step explanation:

<u>The Equation of a Line</u>

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

We are given the points (5,2) and (0,-1), thus:

\displaystyle y-2=\frac{-1-2}{0-5}(x-5)

Operating:

\displaystyle y-2=\frac{-3}{-5}(x-5)

\displaystyle y-2=\frac{3}{5}(x-5)

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5

\displaystyle y-2=\frac{3}{5}x-3

Adding 2:

\displaystyle y=\frac{3}{5}x-3+2

\mathbf{\displaystyle y=\frac{3}{5}x-1}

4 0
3 years ago
Solve the equation: Show work step by step<br><br> -14=-5+3c
arsen [322]
-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: -14 = 3c - 5
Second, add 5 to both sides. / Your problem should look like: -14 + 5 = 3c
Third, simplify -14 + 5 to -9. / Your problem should look like: -9 = 3c
Fourth, divide both sides by 3. / Your problem should look like: -\frac{9}{3} = c
Fifth, simplify the fraction to 3. / Your problem should look like: -3 = c
Sixth, switch your sides. / Your problem should look like: c = -3

Answer: c = -3

3 0
3 years ago
Read 2 more answers
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