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3 years ago

Simplify the following 5√3+2√27+1/√3

Mathematics

2 answers:

Sati [7]3 years ago

7 0

Answer:

5√3+2√27+1√3

=5√3+2×3√3+1√3

=√3(5+6+1)

=12√3

Citrus2011 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

5√3 + 2√27 + 1/√3

5√3 + 6√3 + 1/√3

11√3 + 1/√3

33/√3 + 1/√3

34/√3 ----|

34√3 / 3 | ---- take your pick

11⅓√3 -----|

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2 years ago

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3 years ago

Evaluate it..........

trasher [3.6K]

Answer:

the answer is $\frac{1}{41} (23x-2ln(5sinx+4cosx))$

Step-by-step explanation:

$\int {\frac{3sinx+2cosx}{5sinx+4cosx} } \, dx$

here,

a=3, b=2, c=5, d=4

$M=\frac{ac+bd}{c^2+d^2 }=\frac{3*5+2*4}{5^2+4^2}=\frac{23}{41}$

$N=\frac{bc-ad}{c^2+d^2 }=\frac{2*5-3*4}{5^2+4^2}=\frac{-2}{41}$

$\int {\frac{3sinx+2cosx}{5sinx+4cosx} } \, dx=\int{\frac{\frac{23}{41}(5sinx+4cosx)-\frac{2}{41}(5cosx-4sinx) }{5sinx+4cosx} }\,dx$

$=\frac{23}{41}\int\, dx -\frac{2}{41} \int{\frac{5cosx-4sinx}{5sinx+4cosx} }\, dx$

$=\frac{1}{41} (23x-2ln(5sinx+4cosx))$

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3 years ago

Mr.Simon bought 32 feet of rope. He used 7/8 of the rope to secure a tree to a post to prevent it from falling, how many feet di

rewona [7]

Answer:

28 feet

Step-by-step explanation:

32 X7/8= 7X4=28 feet

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2 years ago

Willing to brainlist solve 16-17 please during this exam

ivann1987 [24]

Answer:

16. B

17. B

Step-by-step explanation:

16. The intercept form of the parabola is

$y=a(x-x_1)(x-x_2),$

where $x_1, x_2$ are two x-intercepts.

In your case,

$x_1=2\\ \\x_2=-8$

$y=a(x-2)(x-(-8))\\ \\y=a(x-2)(x+8)$

To find <em>a</em>, substitute coordinates of the point (-6,-4) parabola is passing through

$-4=a(-6-2)(-6+8)\\ \\-4=-16a\\ \\a=\dfrac{1}{4}$

and

$y=\dfrac{1}{4}(x-2)(x+8)$

17. The vertex form of the parabola equation is

$-2p(y-k)=(x-h)^2,$

where <em>(h,k)</em> are the coordinates of the vertex and sign "-" because parabola goes down.

In your case, vertex is (2,3), so

$-2p(y-3)=(x-2)^2$

The vertex is 3 units from the focus, then

$\dfrac{p}{2}=3\\ \\p=6$

The equation of the parabola is

$-2\cdot 6(y-3)=(x-2)^2\\ \\y=-\dfrac{1}{12}(x-3)^2+3$

8 0

4 years ago

Simplify the following 5√3+2√27+1/√3​

Simplify the following 5√3+2√27+1/√3