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Zepler [3.9K]
4 years ago
9

1/2(x+18)=4(2x-6)-9x

Mathematics
1 answer:
exis [7]4 years ago
3 0

Answer:

X=-22

Step-by-step explanation:

1/2(x+18)=4(2x-6)-9x

1/2(x+18)=4(2x)-4(6)-9x

1/2(x+18)=8x-24-9x

1/2(x+18)=-x-24

2*1/2(x+18)=2(-x-24)

x+18 = -2x-48

x+2x+18 = -2x+2x-48

3x+18 = -48

3x+18-18 = -48-18

3x = -66

3x/3 = -66/3

x = -22

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creativ13 [48]

Answer:

1. <2, <7

2. 58

3. 78

4. a and b

h5. <2 and <7 ( i think this is the same question as the first one)

Step-by-step explanation:

2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)

2x + 7 = 123, subtract 7

2x = 116, divide 2 for both sides to make x by itself

x = 58

3. 78 because of consecutive interior angles

4 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
Please help me. right answer will get brainliest
Harman [31]

Answer:

I attached the answers :)

Step-by-step explanation:

hope this helps :)

(Its a bit messy becuz i used a mouse to write, sry about that)

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Answer:

c\leq 96

Step-by-step explanation:

plz crown

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Answer:

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Step-by-step explanation:

Given

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Required

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