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3 years ago

Which of the following best describes the set of even integers from 8 to 16

Mathematics

1 answer:

Tresset [83]3 years ago

7 0

Answer:

(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16

Step-by-step explanation:

To find the set of even integers from 8 to 16 as below :

There are 8,10,12,14,16 even integers in between the numbers 8 and 16

Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16

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If x=1+√2, evaluate x³+1/x³.

aleksandr82 [10.1K]

Answer:

10√2

Step-by-step explanation:

If x=1+√2, evaluate x³+1/x³

--------

x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2

3 0

3 years ago

Which would feed more people 4/6 of a grape or 3/6 of a watermelon

Westkost [7]

Hello Almighty11,
Picture a grape and almost all of it, thats how much 4/6 of a grape would be.

3/6 of a watermelon is half of a whole watermelon, so it would definitely be the 3/6 watermelon.
~Naterator
Please Thank If This Helped

4 0

3 years ago

How do I solve this algebra two btw

pychu [463]

$\bf \begin{cases} x^2+y^2=400\\ \boxed{y}=x-28 \end{cases}\qquad \stackrel{\textit{substituting on the 1st equation}}{x^2+\left( \boxed{x-28} \right)^2=400} \\\\\\ x^2+(x^2-56x+28^2)=400\implies x^2+x^2-56x+28^2=400 \\\\\\ 2x^2-56x+784=400\implies 2x^2-56x+384=0 \\\\\\ 2(x^2-28x+192)=0\implies x^2-28x+192=0 \\\\\\ (x-16)(x-12)=0\implies x = \begin{cases} 16\\ 12 \end{cases}$

now that we know what are the x-values, what are the y-values? well, we can just use the 2nd equation, since we know that y = x - 28, then

$\bf y = x - 28\implies \stackrel{\textit{when x = 16}}{y = 16 - 28}\implies y = -12 \\\\\\ y = x - 28\implies \stackrel{\textit{when x = 12}}{y = 12 - 28}\implies y = -16 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{x}{16}~~,~~\stackrel{y}{-12})\qquad,\qquad (\stackrel{x}{12}~~,~~\stackrel{y}{-16})~\hfill$

7 0

3 years ago

Help me pls I need help

viva [34]

Answer:

yes

Step-by-step explanation:

LMN should be a right triangle

use pythagorean theorem

18^2+80^2=82^2

it is a right triangle

7 0

3 years ago

6/6 as a mixed number

forsale [732]

It 1 i hope its right

3 0

3 years ago