The area in square feet of a rectangular field is x^2-100x+2400. The width, in feet is x-40. What is the length, in feet?

Mathematics

1 answer:

sattari [20]3 years ago

3 0

Answer:

x-60

Step-by-step explanation:

You have to factor out the quadratic.

You know that one of the factors is x-40.

To factor:

Find a number that when added to -40, gives you -100, and also when multiplied, gives you 2400.

That such number is -60.

Add an x before it, and you get (x-60)

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Perform the following division. Show the multiplication you would do to make the divisor a whole number. Round the answer to thr

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Answer:

1.) divisor multiplied by the proper power of ten = 131

2.) dividend multiplied by the proper power of ten = 47

3.) quotient = 2.787

Step-by-step explanation:

1. To make the divisor a whole number you should multiply it by $10^{2}$ = 100

And the divisor and the dividend must be multiplied by the same power of ten, that is $10^{2}$ = 100.

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4 years ago

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$\displaystyle\bf\\-\sqrt{m^4n^7}=\\\\=-\sqrt{m^{2\times2}\times n^{3\times2+1}}=\\\\=-\sqrt{m^{2\times2}\times n^{3\times2}\times n}}=\\\\=-\sqrt{\Big(m^2\Big)^2\times \Big(n^3\Big)^2\times n}}=\\\\=-\sqrt{\Big(m^2\times n^3\Big)^2\times n}}=\\\\=\boxed{\bf-m^2n^3\sqrt{n}}$