3 years ago

Triangle RST is congruent to triangle .

1 answer:

8 0

Triangle RST is congruent to triangle .The sequence of transformations could have been used to transform triangle RST to produce triangle is <span>Triangle RST was translated 8 units right and then reflected across the x-axis. The answer is letter D. The rest of the choices do not answer the question above</span>

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If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

$\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2$

and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

5 0

3 years ago

Will mark as brainliest if correct! (#14)

Darya [45]

Answer:

B and D

Step-by-step explanation:

To find the percentage, you divide Martin's correct answers by the total number of questions, then multiply the result by 100.

To find the fraction, it's <em>correct answers/total questions</em>.

5 0

3 years ago

Read 2 more answers