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notka56 [123]
4 years ago
8

-3<3x less than or equal to 9 on an number line

Mathematics
1 answer:
liraira [26]4 years ago
7 0
<span>-3 < 3x </span>≤ 9
-1 < x  ≤ 3

hope it helps
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Find the equation of the tangent line to the curve at the given point?
Over [174]

Answer:

<em>The equation of the tangent line </em>

y - \frac{\pi }{4}  = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4}  )

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)

<u><em>Step(ii):-</em></u>

The slope of the tangent line

\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x

(\frac{d y}{d x} )x_{=\frac{\pi }{4} }  = -\frac{\pi }{4}  Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}

We will use trigonometry formulas

Cosec(\frac{\pi }{4} ) = \sqrt{2}

sec(\frac{\pi }{4} ) = \sqrt{2}

Cot(\frac{\pi }{4} ) = 1

Now the slope of the tangent

\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2}  )+1

\frac{dy}{dx} =-\frac{\pi }{2} +1

<u><em>Step(iii):-</em></u>

Given

Substitute x=\frac{\pi }{4} in y = x cot (x)

               y = \frac{\pi }{4}  cot (\frac{\pi }{4} )

              y = \frac{\pi }{4}

The point of the tangent line  (x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )

<em>The equation of the tangent line </em>

y - y_{1} = m ( x - x_{1} )

y - \frac{\pi }{4}  = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4}  )

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4 years ago
A landscape designer has a drawing of a flower bed that measures 6inches by 9 inches. The owner wants the actual flower bed to b
Elza [17]
1.5 feet ok !!!!!!!!
4 0
3 years ago
How can you write the prime factorization and find the greatest common factor and least common multiple of two numbers?
kykrilka [37]
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
3 0
3 years ago
Https://vm.tiktok.com/ZMeh8q4cP/ valid?​
Harlamova29_29 [7]

i dont know how to answer lol

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4 years ago
Read 2 more answers
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edg
Andreas93 [3]
3 3/4 -2 1/2=
15/4-5/2=
15/4-5/2*2/2=
15/4-10/4=
5/4=

5/4 divided by 2 (gives you the distance from the edge if you put the sticker in the center)

5/4 / 2/1=5/8 inches from the edge

I think this is correct. Hope it helps
5 0
3 years ago
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