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Archy [21]
3 years ago
5

4k/19m simplify this fraction

Mathematics
2 answers:
grin007 [14]3 years ago
7 0
<span> 4k/19m </span>Final result : 4km /19

Step by step solution :<span>Step  1  :</span> k Simplify /19 <span>Equation at the end of step  1  :</span> k (4 • /) • m 19 <span>Advertising Skip</span><span>Step  2  :</span>Final result :<span> 4km/ 19 </span>
Olin [163]3 years ago
5 0
The answer is 4km over 19
                                                             
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PLEASE HELP!!!<br>what is 1.46 X 10 ^-7 written in standard form?
taurus [48]

I think you just have to rewrite it  to -1.46×10^-7

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How many roots does the equation -2x3 = 0 have? 3 2 1 0
pickupchik [31]
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4 0
3 years ago
Read 2 more answers
Given that sectheta = -37/12 what is the value of cottheta for pi/2 &lt; theta&lt; pi?
lys-0071 [83]

Answer:

cotg(\theta) = -\frac{12}{35}

Step-by-step explanation:

The cotangent of theta is:

cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}

For pi/2 < theta< pi

This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.

Secant:

sec(\theta) = \frac{1}{\cos{\theta}}

In this question

sec(\theta) = -\frac{37}{12}

So

-\frac{37}{12} = \frac{1}{\cos{\theta}}

Using cross multiplication

-37\cos{\theta} = 12

37\cos{\theta} = -12

\cos{\theta} = -\frac{12}{37}

Now we apply the following trigonometric identity:

\sin{\theta}^{2} + \cos{\theta}^{2} = 1

\sin{\theta}^{2} + (-\frac{12}{37})^{2} = 1

\sin{\theta}^{2} = 1 - (-\frac{12}{37})^{2}

\sin{\theta}^{2} = 1 - \frac{144}{1369}

\sin{\theta}^{2} = \frac{1369 - 144}{1369}

\sin{\theta} = \pm \sqrt{\frac{1225}{1369}}

Since the angle is in the second quadrant, the sine is positive.

\sin{\theta} = \frac{35}{37}

Finally, the cotangent:

cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}

cotg(\theta) = \frac{-\frac{12}{37}}{\frac{35}{37}}

cotg(\theta) = -\frac{12}{35}

4 0
4 years ago
Read 2 more answers
A function $f$ has a horizontal asymptote of $y = -4,$ a vertical asymptote of $x = 3,$ and an $x$-intercept at $(1,0).$ Part (a
Masja [62]

1. f has a horizontal asymptote at y=-4

This means that

\displaystyle\lim_{x\to\pm\infty}f(x)-(-4)=0

(for at least one of these limits)

2. f has a vertical asymptote at x=3

This means that f has a non-removable discontinuity at x=3. Since f is some rational function, there must be a factor of x-3 in its denominator.

3. f has an x-intercept at (1, 0)

This means f(1)=0.

(a) With

f(x)=\dfrac{ax+b}{x+c}

the second point above suggests c=-3. The first point tells us that

\displaystyle\lim_{x\to\pm\infty}\frac{ax+b}{x-3}+4=0=\lim_{x\to\pm\infty}\frac{ax+b+4x-3}{x-3}=0

In order for the limit to be 0, the denominator's degree should exceed the numerator's degree; the only way for this to happen is if a=-4 so that the linear terms vanish.

The third point tells us that

f(1)=\dfrac{a+b}{1-3}=0\implies a=-b\implies b=4

So

f(x)=\dfrac{-4x+4}{x-3}

(b) Since

f(x)=\dfrac{rx+s}{2x+t}=\dfrac12\dfrac{rx+s}{x+\frac t2}

we find that \dfrac t2=-3\implies t=-6, and r=a=-4 and s=b=4.

4 0
3 years ago
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