Choose the graph of the function.<br> f(x)= 4•2^x

What is the area of this trapezoid (the right leg says 8 btw)

alekssr [168]

The answers have square roots among the choices so we probably shouldn't use that calculator button.

We can't just apply the area of the trapezoid formula

$A = \frac 1 2(b + t) h$

where b is the bottom base, t the parallel top, and h the height, because we don't know the top t.

It will be 10 less the leg of that right triangle, which we calculate as

$l = \sqrt{8^2 - (4\sqrt{3})^2} = \sqrt{64 - 48} = \sqrt{16}=4$

Now we can apply the trapezoid formula. We have

$b = 10, \qquad t=10-4=6, \qquad h= 4\sqrt{3}$

$A = \frac 1 2(b + t) h = \frac 1 2 (10 +6)(4 \sqrt{3}) = 32 \sqrt{3}$

Choice b

7 0

3 years ago

What is the answer to 16=d+3

Vlada [557]

Hello !!

$\rule{300}{5}$

$\huge\blue{\mid{\fbox{\tt{ANSWER:-\:}}\mid}}$

$d = 13$

<h2><em>EXPLANATION :</em></h2><h2><em /></h2>

Switch sides:

$16 = d~+~3$

Subtract 3 from both sides:

$d~+~3 ~-~3=16 ~-~3$

Simplify:

$d = 13$

$\huge\blue{\mid{\fbox{\tt{ANSWER:-\:}}\mid}}$

$d = 13$

Hope It Helps. . .

#LearnWithBrainly

$A~n~s~w~e~r~:$

Jace ^-^

7 0

3 years ago

-4x-2y=30<br> 1/3y=7/3x+5/3<br> we are supposed to use substitution when solving

seropon [69]

Answer:

The solution set is (-20/9, -95/9)

Step-by-step explanation:

To solve using the substitution method, start by solving the second equation for y.

1/3y = 7/3x + 5/3

y = 7x + 5

Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.

-4x - 2(7x + 5) = 30

-4x - 14x - 10 = 30

-18x - 10 = 30

-18x = 40

x = -20/9

Now that we have the value of x, we can solve for y by inputting the x value into either equation.

-4x - 2y = 30

-4(-20/9) - 2y = 30

80/9 - 2y = 30

80/9 - 2y = 270/9

-2y = 190/9

y = -95/9

4 0

3 years ago

What is the expanded form of 430,290,100

mariarad [96]

So,

When you write a number in expanded form, you separate each non-zero digit and write it according to its place value.

430,290,100

400,000,000
30,000,000

We don't put anything for the millions place because there are none.

200,000
90,000
100

Then we join each of them with a plus sign.

400,000,000 + 30,000,000 + 200,000 + 90,000 + 100

3 0

3 years ago

Read 2 more answers

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

<u>We are given with the following details:</u>

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

<u>To write:</u> The set notation for the elements of set N.

<u>Solution:</u>

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the <em>answer will be N = {13,15,17,19}.</em>

7 0

3 years ago

Choose the graph of the function. f(x)= 4•2^x