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Luba_88 [7]
2 years ago
7

Express the radical using the imaginary unit i

Mathematics
1 answer:
diamong [38]2 years ago
6 0

Answer:

i\sqrt{30}

Step-by-step explanation:

\sqrt{-30}

= \sqrt{30 * -1}      

= \sqrt{30} * \sqrt{-1}   Separate the two numbers into 2 radicals.

= i\sqrt{30}             Simplify, knowing that i = \sqrt{-1}.

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Write this equation in vertex form.<br> y = x^2 -12x +20
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Answer:

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Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

y = (x-h) ^ 2 + k

Where the vertice of the equation is the point (h, k)

To transform the equation y = x ^ 2 -12x +20 in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

ax ^ 2 + bx + c

Where a, b and c are real numbers, then the vertex of the equation will be:

x = - \frac{b}{2a}

For the given equation:

b = -12\\a = 1

Therefore the vertice is:

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Now we substitute x = 6 into the equation and find the value of k.

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Therefore the vertice is: (6, -16)

And the equation is:

y = (x-6) ^ 2 -16

8 0
2 years ago
Read 2 more answers
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Firdavs [7]

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Step-by-step explanation:

<em>Let's calculate the acute angle at the base of the triangle:</em>

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5 0
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Step-by-step explanation:

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Answer:

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3 0
3 years ago
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If a radius of a circle is perpendicular to a chord, then it _____ that chord.
labwork [276]
The answer is b. There is a proof, but it is easily got by proving the other cases wrong.
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3 years ago
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