Ask question

Ask question

All categories

3 years ago

10

Simplify the radical expression -4√160 A: -4√16 B: √10 C: -16√10 D: -4√80

1 answer:

wel3 years ago

3 0

The answer is: [C]: " -16√10 " .
________________________________________________________
Note:
________________________________________________________
" -4√160" = -4 * √160 " ;
________________________________________________________
√160 = √16 *√10 = 4√10 ;

-4 * * 4√10 = -16√10 ;

which is: Answer choice: [C]: " -16√10 " .
_________________________________________________________

You might be interested in

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Graph the linear equation to find three points that solve the equation then plot on the graph negative -x -4y =-18

Eddi Din [679]

X
=
18
−
4
y good luck buddy

7 0

3 years ago

Nicks iPhone cover is a rectangle that is 1 1/2 inches long, the width is 7/8 of the length. What is the area of his phone cover

Irina-Kira [14]

Sorry if it’s confusing
Answer is 1 3/4

7 0

3 years ago

Kevin wants to buy wings at his favorite restaurant. He notices a promotion that says that each wing is $0.57 including tax. If

tangare [24]

Answer:

19 wing

Step-by-step explanation:

19 wings at .57 would be $10.83

5 0

3 years ago

Addictive inverse of -1.5 and 0.5

Brut [27]

Answer:

1.5 and - 0.5

Step-by-step explanation:

5 0

3 years ago