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2 years ago

Help please! write in terms of i

Mathematics

2 answers:

Andrew [12]2 years ago

5 0

Answer:

2√10i

Step-by-step explanation:

√-40 = √40 × √-1

= √(4 × 10) × √-1

= √4 × √10 ×√-1

√-1 = i

√40 = 2√10i

Varvara68 [4.7K]2 years ago

4 0

Hope this helps (2i square root of 10)

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Please help, I dont know the answer, can someone tell me the answer please and explain it?

sergiy2304 [10]

Answer:

Kristen is correct.

2^3 is the same thing as 2 times 2, times 2. 2 cubed = 8.

5 0

3 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

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$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus

7 0

2 years ago

A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?

Zigmanuir [339]

Answer:

6

Step-by-step explanation:

Hey there) The formula of your line is:

$-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\$

If point has y=-4, then:

$-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6$

Hope this helps) Have a nice day/night :)

8 0

3 years ago

The drama department was considering two options for the winter production. They used the following equations to represent the p

stellarik [79]

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

8 0

2 years ago

Show the graph of -3x + 10

nekit [7.7K]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Help please! write in terms of i​

Help please! write in terms of i