Find the distance between the following points E(-12, 2), F(-9, 6)

Select all the expressions that are equivalent to (2)^n+³

eimsori [14]

Answer:

The expressions which equivalent to $(2)^{n+3}$ are:

$4(2)^{n+1}$ ⇒ B

$8(2)^{n}$ ⇒ C

Step-by-step explanation:

Let us revise some rules of exponent

$a^{m}$ × $a^{m}$ = $a^{m+n}$
$(a^{m})^{n}$ = $a^{m*n}$

Now let us find the equivalent expressions of $(2)^{n+3}$

A.

∵ 4 = 2 × 2

∴ 4 = $2^{2}$

∴ $(4)^{n+2}$ = $(2^{2})^{n+2}$

- By using the second rule above multiply 2 and (n + 2)

∵ 2(n + 2) = 2n + 4

∴ $(4)^{n+2}$ = $(2)^{2n+4}$

B.

∵ 4 = 2 × 2

∴ 4 = 2²

∴ $4(2)^{n+1}$ = 2² × $(2)^{n+1}$

- By using the first rule rule add the exponents of 2

∵ 2 + n + 1 = n + 3

∴ $4(2)^{n+1}$ = $(2)^{n+3}$

C.

∵ 8 = 2 × 2 × 2

∴ 8 = 2³

∴ $8(2)^{n}$ = 2³ × $(2)^{n}$

- By using the first rule rule add the exponents of 2

∵ 3 + n = n + 3

∴ $8(2)^{n}$ = $(2)^{n+3}$

D.

∵ 16 = 2 × 2 × 2 × 2

∴ 16 = $2^{4}$

∴ $16(2)^{n}$ = $2^{4}$ × $(2)^{n}$

- By using the first rule rule add the exponents of 2

∵ 4 + n = n + 4

∴ $16(2)^{n}$ = $(2)^{n+4}$

E.

$(2)^{2n+3}$ is in its simplest form

The expressions which equivalent to $(2)^{n+3}$ are:

$4(2)^{n+1}$ ⇒ B

$8(2)^{n}$ ⇒ C

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Chuge%20%5Cpink%7Bwhat%20%5C%3A%20is%20%5C%3A%20cranial%7D%20%5C%5C%20%5Chuge%20%5Cpink%7

worty [1.4K]

$\huge\mathcal{\fcolorbox{aqua}{pink}{\blue{✿Answer ❖}}}$

“Nerves that extend throughout the body on both sides emerging directly from brain and brain stem are called cranial nerves.”

6 0

2 years ago

The equation of the line with slope = 3, going through point (2, 4) is:

Marina86 [1]

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10$

7 0

1 year ago

Read 2 more answers

Please explain or show how you got the answer

natka813 [3]

The answer is D) $0.15

James spent: $2.65
On 5 box of markers and 1 erase
So I divided 2.65 by 5 and got .15
$2.65 ÷ 5 = 0.15
So he spent $2.50 on markers an $0.15
Erasers

Based of James, Becky spent a dollar on. 2 boxes of markers
And $0.45 on 3 erasers

Hope I helped if so mark me as brainliest

3 0

3 years ago

Help please look at picture supplementary angles

8_murik_8 [283]

Answer:

x=16

Step-by-step explanation:

....,...................

5 0

2 years ago