60 mi. = _______________ km

Mathematics

2 answers:

harina [27]3 years ago

7 0

Answer:

96.5606

Step-by-step explanation:

I hope this helps :)

miv72 [106K]3 years ago

7 0

The answer is 96.561

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Write the slope- intercept form of the equation of the line passing through the point (3,5) and parallel to the line y=3x+6.

seropon [69]

Answer: The gradient of the line passing through is 3, thus the equation of the line becomes y=3x-4.

Step-by-step explanation: The parallel lines gradients that have similar gradients, so now we have the gradient of 3 because its similar to the other gradient. To get the equation of the line we use this equation: y=mx+c, we have to substitute the x and y to get the constant c.

5=3(3)+c

c= -4

y=3x+c

3 0

3 years ago

Partial fraction decomposition<br> 20x+9/25x^2+20x+4

ozzi

Step-by-step explanation:

We have

$\frac{20x + 9}{25 {x}^{2} + 20x + 4 }$

Let's factor the denomiator first,

the denomaitor is a perfect square so we get

$\frac{20x + 9}{(5x + 2) {}^{2} }$

Now, we must think of two fractions that

$\frac{a}{(5x + 2) {}^{2} } + \frac{b}{5x + 2}$

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.

So right now, we have

$\frac{a}{(5x + 2) { }^{2} } + \frac{b}{5x + 2} = \frac{20x +9 }{25 {x}^{2} + 20x + 4 }$