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vagabundo [1.1K]
4 years ago
8

PLEASE HELP. Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.

Mathematics
1 answer:
pishuonlain [190]4 years ago
3 0

Answer:

Step-by-step explanation:

First factor the second binomial

38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)

So there's your 37. This whole expression is divisible by 37

Now do the first  binomial

36^5 - (36^4)*6

36^4(36 - 6)

36^4(30) and there's your thirty.

That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9

6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9

So this factors into 30*(36^4)*37*38^9

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Step-by-step explanation:

200? sorry if its wrong

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its 51

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3 years ago
In 2-3 paragraphs, discuss the reasons why someone should make a will.
bulgar [2K]

Answer:

Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.

Step-by-step explanation:

There are many important reasons why you should make a will. some of them are:

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3 years ago
Translate into an Algebraic equation: The quotient of a number and 5
gavmur [86]

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

<em>Translate into an algebraic equation:-</em>

<em>The quotient of a number and 5.</em>

<em />

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

✳︎ First, the word "quotient" indicates that we divide.

Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.

So the quotient of d and 5 looks as follows:-

\bold{\dfrac{f}{5}}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

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2 years ago
Help answer please!!
12345 [234]

Answer:

h = 19.7 ft.

Step-by-step explanation:

Use the Pythagoras Theorem

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\\\(20)^2=(3.5)^2+(h)^2\\400=12.25+h^2\\400-12.25=h^2\\387.75=h^2\\

Now we take square root on both sides,

\sqrt{387.75} =\sqrt{h^2}\\19.69=h\\h=19.7\ ft\\

so the value of h equals 19.7 ft.

6 0
3 years ago
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