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bogdanovich [222]
3 years ago
11

HELP ME PLEASE!!!!

Mathematics
1 answer:
QveST [7]3 years ago
4 0
54=9\cdot6\\24=4\cdot6\\\\3\sqrt{54}-4\sqrt{24}=3\sqrt{9\cdot6}-4\sqrt{4\cdot6}=3\cdot\sqrt9\cdot\sqrt6-4\cdot\sqrt4\cdot\sqrt6\\\\=3\cdot3\cdot\sqrt6-4\cdot2\cdot\sqrt6=9\sqrt6-8\sqrt6=1\sqrt6=\sqrt6\\\\\text{Answer:}\ \sqrt6\\\\\text{Used:}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}
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Write a point slope equation for -5/7 using the coordinates (6,2)
sleet_krkn [62]

Answer:

(13, -3)

Step-by-step explanation:

slope = -5/7

(6,2)  

m = ( y2 - y1) / ( x2 - x1 )

-5/7 = ( y2 - 2) / ( x2 - 6 )

   

    -5 = y2 -2

        +2        +2

        -3 = y2


      7 = x2 - 6

    +6         +6

      13 = x2


Check answer again by log them in:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -3 - 2 ) / ( 13 - 6 )

m = -5 / 7


I hope this helps!

7 0
3 years ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
A merchant buys a television for $125 and sells it for $75 more. what is the percent of markup?
guajiro [1.7K]
Since he sold it for $75 more,

% Mark Up = Mark Up/ Cost Price   * 100%

% Mark Up =   75 / 125 * 100%
            
                   =   0.6  * 100% = 60%

Percent Mark Up = 60%.

Hope this explains it.

4 0
3 years ago
SOMEONE PLEASE HELP WILL MARK BRAINLIEST
Mashutka [201]

Radical form for 112 would be 4{7 and then I think you can just search up how to reduce the 4 to 7 i don’t have the symbol btw
4 0
3 years ago
Find the missing side length… please help
My name is Ann [436]

Answer:

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  • \tan(46)  =  \frac{17}{x}
  • Cross multiply
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  • x = 16.42
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7 0
3 years ago
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