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3 years ago

Factor completely x2 - 8x + 16.

Mathematics

2 answers:

Deffense [45]3 years ago

6 0

Answer:

(X - 4)(x - 4)

Step-by-step explanation:

x2 - 8x + 16

What two numbers multiply to 16 and add to -8

-4 * -4 = 16

-4 +-4 = -8

(x-4) (x-4)

(x-4)^2

liberstina [14]3 years ago

6 0

Answer:

Step-by-step explanation:

(x - 4)(x - 4)

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AysviL [449]

Answer:

114,2

Step-by-step explanation:

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Determine if the field Bold Upper F equals 10 yz Bold i plus 10 xz Bold j plus 10 xy Bold k is conservative or not conservative.

Black_prince [1.1K]

F is conservative if we can find a scalar funciton f such that grad(f) = F.

This would entail

$\dfrac{\partial f}{\partial x}=10yz$

$\dfrac{\partial f}{\partial y}=10xz$

$\dfrac{\partial f}{\partial z}=10xy$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=10xyz+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=10xz=10xz+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

Differentiate both sides with respect to z :

$\dfrac{\partial f}{\partial z}=10xy=10xy+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

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that satisfies

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4 0

3 years ago

PLEASE HELP!!!! 20 points

Vladimir79 [104]

Answer:

Interval notation [-2, 0) U (0, 7]

Step-by-step explanation:

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3 years ago

If (x−4)2=7, what values of x make the quadratic equation true?

GrogVix [38]

Answer:

Step-by-step explanation:

Take the square root of both sides.

sqrt(x - 4)^2) = +/- sqrt(7)

x - 4 = +/- sqrt(7) Add 4 to both sides

x = 4 +/- sqrt(7)

Answer: C

3 0

2 years ago