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3 years ago

Which function has the least value for the y-intercept?

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

y-intercept is the value of y when x is equal to zero. Because the y intercept is a point on a graph, you'll usually write it in point/ coordinate form.

Step-by-step explanation:

The y-intercept is where the parabola of a function crosses (or intercepts) the y axis.

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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: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0

3 years ago

Ayye i said bust down thotiana .Ayee i wanna see u bust down Im jk.

In-s [12.5K]

Answer:go o trey acc and you goin see the tea about trey really being elijah (Asia)

Step-by-step explanation:

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3 years ago

Show the expression as the base to one power.

coldgirl [10]

Step-by-step explanation:

${4}^{5}. {4}^{3 } = {4}^{5 + 3} = {4}^{8}$

6 0

3 years ago

What is 0.05 10 times as much as

Varvara68 [4.7K]

0.005
Multiplying by ten moves the decimal point over one.

6 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through the two points below.<br> (3,4) and (3,-1)

tangare [24]

Answer:

Slope = (-5,0)

Step-by-step explanation:

When given two points and asked to find the slope, you can find the answer using slope formula which is:

slope = (y2 - y1) / (x2-x1)

You have been given the points (3,4) and (3,-1). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (3,4) are x1 and y1 and (3,-1) are x2 and y2. Now we can plug it into the formula.

Slope = (-1 - 4) / (3-3)

= -5 / 0

= -5,0

So the answer is (-5,0).

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3 years ago

Read 2 more answers