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3 years ago

Explain why the product of any four consecutive integers is divisible by 24. ...?

1 answer:

6 0

I'm thinking about proving it by induction

let f =n(n+1)(n+2)(n+3)

it n = 1 then f =24 divisible by 24

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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Find all real square roots of 25

kiruha [24]

Answer:

All real square roots of 25 is +5 and -5.

Step-by-step explanation:

When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.

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3 years ago

Find the value of x in the triangle shown below 4 9

Korolek [52]

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3 years ago

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(show the supposition, proof and conclusion)

larisa86 [58]

Answer:

Step-by-step explanation:

We are given that a and b are rational numbers where $b\neq0$ and x is irrational number .

We have to prove a+bx is irrational number by contradiction.

Supposition:let a+bx is a rational number then it can be written in $\frac{p}{q}$ form

$a+bx=\frac{p}{q}$ where $q\neq0$ where p and q are integers.

Proof: $a+bx=\frac{p}{q}$

After dividing p and q by common factor except 1 then we get

$a+bx=\frac{r}{s}$

r and s are coprime therefore, there is no common factor of r and s except 1.

$a+bx=\frac{r}{s}$ where r and s are integers.

$bx=\frac{r}{s}-a$

$x=\frac{\frac{r}{s}-a}{b}$

When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.

Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.

Conclusion: a+bx is an irrational number.

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3 years ago

Which statement best describes the area of the triangle shown below?

Evgesh-ka [11]

Answer:

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Step-by-step explanation:

Given a coordinate grid shown with the triangle of measurements with base 4 units and height also 4 units.

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${\Rightarrow{\sf{Area\:=\:\frac{1}{2}\:x\:base\:x\:height}$

${\Rightarrow{\sf{Area\:=\:\frac{1}{2}\:x\:4\:x\:4}$

we have to choose the statement that describes the area of the triangle evaluate above.

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2 years ago

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UNO [17]

Answer:

4 i think i did this yesterday

Step-by-step explanation:

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3 years ago