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4 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

1 answer:

vichka [17]4 years ago

7 0

Answer:

the missing leg length is 2√70.

Step-by-step explanation:

This is a right triangle in which the hypotenuse is 19 ft and one of the legs is 9 ft. Using the Pythagorean Theorem, we find the length of the other leg:

x^2 = (19 ft)^2 - (9 ft)^2 = 361 - 81 = 280, or 4*70

Then the missing leg length is √4√70, or 2√70.

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4 years ago

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Len [333]

Answer:

Yes, it is invertible

Step-by-step explanation:

We need to find in the matrix determinant is different from zero, since iif it is, that the matrix is invertible.

Let's use co-factor expansion to find the determinant of this 4x4 matrix, using the column that has more zeroes in it as the co-factor, so we reduce the number of determinant calculations for the obtained sub-matrices.We pick the first column for that since it has three zeros!

Then the determinant of this matrix becomes:

$4\,*Det\left[\begin{array}{ccc}1&4&6\\0&3&8\\0&0&1\end{array}\right] +0+0+0$

And the determinant of these 3x3 matrix is very simple because most of the cross multiplications render zero:

$Det\left[\begin{array}{ccc}1&4&6\\0&3&8\\0&0&1\end{array}\right] =1 \,(3\,*\,1-0)+4\,(0-0)+6\,(0-0)=3$

Therefore, the Det of the initial matrix is : 4 * 3 = 12

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3 years ago