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2 years ago

The surface area for a rectangular prism with a square base is SA=2s2+4sh.

Mathematics

2 answers:

umka21 [38]2 years ago

6 0

2*2*2=8+4*2*4=40 ....

ira [324]2 years ago

4 0

SA = 2s^2 + 4sh

SA = 2(2^2) + 4(2)(4)

SA = 2(4) + 8(4)

SA = 8 + 32

SA = 40

answer is 40

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melomori [17]

Sounds like answer d to me

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1 year ago

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

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

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

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1 year ago

Write an equation of the line that passes through (2,-4) and (0,-4)

Arte-miy333 [17]

y = mx + b

To find the slope(m), you use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

You plug in the points into the equation.

$m = \frac{-4 - (-4)}{0 - 2}$

$m = \frac{-4+4}{0-2} = \frac{0}{-2} =0$

The slope is 0

y = 0x + b

Any number multiplied by 0 is 0. So:

y = b

To find b, you plug in the y value of either of the points.

-4 = b

Your equation is:

y = -4 (This is a horizontal line)

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2 years ago

Select one:

spayn [35]

D Oh no! Something went wrong while adding your answer
It's too short. Write at l<span>Remember that it's against our guidelines to copy content from other websites, books or any other material to which you don't own the rights to. We know you have the power to solve these problems on your own!</span>east 20 characters to explain it well

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2 years ago

Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x>2 represents the situation. Which graph represen

lisov135 [29]

It should look like a vertical line on the 2 of the x axis and everything to the right would be shaded.

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2 years ago

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