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3 years ago

Whats 9*20(10+20) First Answer Gets Brainliest

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

Your answer would be 5400.

Step-by-step explanation:

You have to follow PEMDAS for this one. You will start within the parenthesis and add 10 and 20 together to get 30. You would then times that by 20 and get 600. Finally, you would mulitply that by 9 and get 5400 as your answer..

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Rationalise the denominator of:<br>1/(√3 + √5 - √2)

Paul [167]

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given expression is

$\rm :\longmapsto\:\dfrac{1}{ \sqrt{3} + \sqrt{5} - \sqrt{2} }$

can be re-arranged as

$\rm :\longmapsto\:\dfrac{1}{ \sqrt{3} - \sqrt{2} + \sqrt{5} }$

$\rm \: = \: \dfrac{1}{( \sqrt{3} - \sqrt{2} ) + \sqrt{5} }$

On rationalizing the denominator, we get

$\rm \: = \: \dfrac{1}{( \sqrt{3} - \sqrt{2} ) + \sqrt{5} } \times \dfrac{( \sqrt{3} - \sqrt{2} ) - \sqrt{5} }{( \sqrt{3} - \sqrt{2} ) - \sqrt{5} }$

We know,

$\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}$

So, using this, we get

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{ {( \sqrt{3} - \sqrt{2} )}^{2} - {( \sqrt{5}) }^{2} }$

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{3 + 2 - 2 \sqrt{6} - 5}$

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{5 - 2 \sqrt{6} - 5}$

$\rm \: = \: \dfrac{ \sqrt{3} - \sqrt{2} - \sqrt{5} }{ - 2 \sqrt{6}}$

$\rm \: = \: \dfrac{ - ( - \sqrt{3} + \sqrt{2} + \sqrt{5}) }{ - 2 \sqrt{6}}$

$\rm \: = \: \dfrac{- \sqrt{3} + \sqrt{2} + \sqrt{5}}{2 \sqrt{6}}$

On rationalizing the denominator, we get

$\rm \: = \: \dfrac{- \sqrt{3} + \sqrt{2} + \sqrt{5}}{2 \sqrt{6}} \times \dfrac{ \sqrt{6} }{ \sqrt{6} }$

$\rm \: = \: \dfrac{- \sqrt{18} + \sqrt{12} + \sqrt{30}}{2 \times 6}$

$\rm \: = \: \dfrac{- \sqrt{3 \times 3 \times 2} + \sqrt{2 \times 2 \times 3} + \sqrt{30}}{12}$

$\rm \: = \: \dfrac{- 3\sqrt{2} + 2 \sqrt{3} + \sqrt{30}}{12}$

Hence,

$\boxed{\tt{ \rm \dfrac{1}{ \sqrt{3} + \sqrt{5} - \sqrt{2} } =\dfrac{- \sqrt{3 \times 3 \times 2} + \sqrt{2 \times 2 \times 3} + \sqrt{30}}{12}}}$

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<h3><u>More Identities to </u><u>know:</u></h3>

$\purple{\boxed{\tt{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}}}}$

$\purple{\boxed{\tt{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}}}}$

$\purple{\boxed{\tt{ {(x + y)}^{3} = {x}^{3} + 3xy(x + y) + {y}^{3}}}}$

$\purple{\boxed{\tt{ {(x - y)}^{3} = {x}^{3} - 3xy(x - y) - {y}^{3}}}}$

$\pink{\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}}$

$\pink{\boxed{\tt{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}}}$

6 0

3 years ago

1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4

otez555 [7]

Answer:

7.2 is larger than 72×10-4 and this is also larger than 00.72

3 0

3 years ago

Prove algebraically what type of function this is (even, odd, or neither).<br>f(x) = x^6 – x^4

Savatey [412]

Let's see.

We have function $f(x)=x^6-x^4$ . We have to determine if the function is even or odd or neither.

We can find this out in many ways but the assignment specifically asks to prove this algebraically.

Function is even if $f(x)=f(-x)$ , so, $x^6-x^4=(-x)^6-(-x)^4$

Which is true since negative raised to an even power is positive to that same number.

Similarly, function is odd if $f(x)=-f(-x)$ , that is,

$x^6-x^4\neq-((-x)^6-(-x)^4)$ .

So we have prooved that function $f(x)$ is an even function not an odd function and therefore also not neither.

Hope this helps.

3 0

3 years ago

A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about

STatiana [176]

Answer: There are 4 matches that are expected to lose by a soccer team.

Step-by-step explanation:

Since we have given that

Probability that a soccer team wins = 65%

Probability that a soccer team ends in a draw = 15%

Total probability we get

$65\%+15\%=80\%$

Probability that matches are expected to lose is given by

$100\%-80\%=20\%$

Since number of matches is scheduled to play = 20

Number of matches expected to lose is given by

$\frac{20}{100}\times 20\\\\=\frac{400}{100}\\\\=4$

Hence, there are 4 matches that are expected to lose by a soccer team.

5 0

3 years ago

Read 2 more answers

3x - 4 = 6x - 19<br> Please help, it's due tomorrow!

Naddika [18.5K]

3x-4= 6x-19 » -4+19 = 6x-3x » 15 = 3x » 15/3 = x » x = 5

6 0

4 years ago

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