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Talja [164]
3 years ago
6

The expression sin x (cos x cot x - sin x) simplifies to?

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0
◆ Trigonometric Identities ◆

Hey !!

Check the attachment.
Hope it helps you :)

liraira [26]3 years ago
6 0
This is the correct answer. I just got it wrong on my quiz but this was the right option. cos(2x)
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Danny is planting an onion garden. The table shows the size of Danny's garden (in square feet), x, and the number of onions he c
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Doss [256]

Answer:

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6 0
2 years ago
Show all work to write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the
natima [27]
4x - 3y - 7 = 0
-3y = -4x + 7
y = 4/3x - 7/3....slope here is 4/3

A. a parallel line will have the same slope

y = mx + b
slope(m) = 4/3
(-2,1)...x = -2 and y = 1
sub and find b, the y int
1 = 4/3(-2) + b
1 = -8/3 + b
1 + 8/3 = b
3/3 + 8/3 = b
11/3 = b

so ur parallel line is : y = 4/3x + 11/3

B. A perpendicular line will have a negative reciprocal slope. To get the negative reciprocal of a number, u flip the number and change the sign. So our perpendicular line will need a slope of -3/4

y = mx + b
slope(m) = -3/4
(-2,1)...x = -2 and y = 1
sub and find b, the y int
1 = -3/4(-2) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b

so ur perpendicular equation is : y = -3/4x - 1/2
8 0
3 years ago
Suppose y varies directly with x, and y= 10 when x=-2. What direct variation equation relates x and y? What is the value of y wh
Musya8 [376]

The statement " <span>y </span>varies directly as <span>x </span>," means that when <span>x </span>increases,<span>y </span>increases by the same factor. In other words, <span>y </span>and <span>x </span>always have the same ratio:

<span><span> = k</span>   </span>

<span>where </span><span>k </span>is the constant of variation.
<span>We can also express the relationship between </span><span>x </span><span>and </span><span>y </span>as:

<span><span>y = kx</span>   </span>

<span>where </span><span>k </span>is the constant of variation.

Since <span>k </span>is constant (the same for every point), we can find <span>k </span>when given any point by dividing the y-coordinate by the x-coordinate. For example, if <span>y </span>varies directly as <span>x </span>, and <span>y = 6</span> when <span>x = 2</span> , the constant of variation is <span>k =  = 3</span> . Thus, the equation describing this direct variation is <span>y = 3x </span>.

Example 1: If <span>y </span>varies directly as <span>x </span>, and <span>x = 12</span> when <span>y = 9</span> , what is the equation that describes this direct variation?

<span>k =  =  </span>
<span>y =  x</span>

Example 2: If <span>y </span>varies directly as <span>x </span>, and the constant of variation is <span>k =  </span>, what is <span>y </span>when <span>x = 9</span> ?

<span>y =  x = (9) = 15</span>

As previously stated, <span>k </span>is constant for every point; i.e., the ratio between the <span>y </span>-coordinate of a point and the <span>x </span>-coordinate of a point is constant. Thus, given any two points <span>(x 1, y 1)</span> and <span>(x 2, y 2)</span> that satisfy the equation, <span> = k </span>and <span> = k </span>. Consequently, <span> =  </span>for any two points that satisfy the equation.

Example 3: If <span>y </span>varies directly as <span>x </span>, and <span>y = 15</span> when <span>x = 10</span> , then what is <span>y </span>when <span>x = 6</span> ?

<span> =  </span>
<span> =  </span>
<span>6() = y </span>
<span>y = 9</span>

3 0
3 years ago
Math help please show work thanks
Rufina [12.5K]

Answer:

The curve surface area(CSA) of a cylinder is 2πrh.

Since diameter=1.5 in.

          radius=diameter/2

                     =1.5/2 in.

                     =0.75 in.

And, the height of the bottle is 5 in.

Now,

CSA=2πrh

       =2π*0.75*5 in^2

       =15π/2 or 23.56 in^2

The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.

4 0
3 years ago
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