3 years ago

Consider the polynomial equation x(x-3)(x+6)(x-7)=0. Which of the following are zeroes of the equation? Select all that apply.

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

If looking for the answer it would be 0, 3, -6, 7

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One-fourth + one-sixth + one-third

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3 years ago

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3 years ago

Find the area of the triangle with vertices: q(3,-4,-5), r(4,-1,-4), s(3,-5,-6).

maw [93]

Answer:

(√6)/2 square units

Step-by-step explanation:

The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.

QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)

QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)

The cross product is the determinant ...

$\text{det}\left|\begin{array}{ccc}i&j&k\\1&3&1\\0&-1&-1\end{array}\right|=-2i+j-k$

The magnitude of this is ...

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The area of the triangle is half this value:

Area = (1/2)√6 . . . . square units

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3 years ago