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3 years ago

Please help ASAP!!

Mathematics

1 answer:

marta [7]3 years ago

3 0

Answer:

D. NM=12; mK=70°

Step-by-step explanation:

KN≈KM so they have the same 55° and then

180°-55°-55°=70° and

6*2=12

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Which expression is equivalent to 4( x + 3)?

Airida [17]

Answer:

Step-by-step explanation:

use distributive property

4*x + 4*3 = 4x+12

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2 years ago

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4.7j-6.8k when j =5 and k =3

Oksanka [162]

Answer:

Your answer is 3.1

Step-by-step explanation:

Wherever you see j, substitute 5. Wherever you see k, substitute 3

1. Set up: $4.7(5)-6.8(3)$

2. Multiply 4.7 * 5, to get 23.5

3. Multiply 6.8 * 3 to get 20.4

4. Subtract 23.5-20.4

5. Final anwer - 3.1

Hope this helps!

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3 years ago

by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

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3 years ago

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Answer:

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Note:

Pls notify me if my answer is incorrect for the other users that will see this message.

<em>-kiniwih426</em>

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