Domain dan range dari f(x)=√3x-6

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

8 0

4 years ago

Read 2 more answers

Help I will be marking brainliest!!!

Morgarella [4.7K]

It is c and your welcome

5 0

3 years ago

What is product of -12 and -4

kompoz [17]

The answer is -16.

-12+(-4) = -16
^is this the equation you meant or?

7 0

3 years ago

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of app

a_sh-v [17]

1.425 gallons/bottle.

<h3>Further explanation</h3>

<u>Given:</u>

Yasmine bought 6 gallons of apple juice.
After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

<u>Question:</u>

What is the amount of apple juice in each container (or bottle)?

<u>The Process:</u>

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

<u>Step-1:</u> the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

<u>Step-2:</u> the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Let's also consider the following quick steps.

<u>Quick steps:</u>

$\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

<h3>Learn more</h3>

What is the cost of the toy car? brainly.com/question/5282516
How much netting did Mrs.Nguyen use per goal? brainly.com/question/13174287
Mr. Frye distributed his money equally among his 4 children for their weekly allowance. brainly.com/question/13174288#

Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container

7 0

3 years ago

Read 2 more answers

Tim bought a video game console and games for $350. The video game console cost $200. Each game cost $25. How many games did Tim

olasank [31]

Tim bought 6 games
Because 25x6=150 and he spent 200 on the console and he spent 350 total so your answer is $150

3 0

3 years ago

Read 2 more answers