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2 years ago

What's -96= -6 (8 - k)

1 answer:

7 0

Divide both sides with -6 to then get 16=8-k. Then subtract 8 to both sides. to get 8=-k. Finally, divide both sides by -1 to get your answer, -8=k.

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Factor the expression over the complex numbers. <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B18" id="TexFormula1

AleksAgata [21]

Here we are given the expression:

$x^{2}+18$

Now let us equate it to zero to find x first,

$x^{2}+18=0$

Now subtracting 18 from the other side,

$x^{2}=-18$

taking square root on both sides,

So we will get two values of x as ,

$x=3\sqrt{-2}$

$x=-3\sqrt{-2}$

Now we can write square root -1 as i,

So our factors become,

$x=3i\sqrt{2}$

$x=-3i\sqrt{2}$

Answer:

The final factored form becomes,

$(x+3i\sqrt{2})(x-3i\sqrt{2})$

7 0

2 years ago

Read 2 more answers

Find the volume of the sphere. Either enter an exact answer in terms π or use 3.14 for π

Lunna [17]

The equation for volume of a sphere is (4/3)(pi)(r)^3. So you would plug in he radius 9 into the equation. It would simplify to equal (4/3)(pi)(729). It simplifies further to equal (972)(pi)

6 0

3 years ago

Simplify -3i sqrt -40 Enter your answer in simplest radical form

Mariulka [41]

Answer:

Step-by-step explanation:

-3i √(-40) = -3i √40i² ...(i² = - 1)

= -3i √40 i

-3i √(-40) = 3√40

6 0

2 years ago

The length of an object is measured as 34.8 centimeters. What is this measurement in scientific notation?

harkovskaia [24]

Answer:

34.8 x 10 to the power of 0.

Step-by-step explanation:

hope this helps

3 0

2 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

sattari [20]

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{14\sqrt{3} }{x}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

x $\sqrt{3}$ = 28 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

x = 28

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To find y use the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{14\sqrt{3} }{y}$ = $\sqrt{3}$ ( multiply both sides by y )

14 $\sqrt{3}$ = y $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

y = 14

3 0

3 years ago