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2 years ago

Find the solution of the system of equations. 3x – 3y = 18 3x – 8y = -2

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

5 0

Answer:

x=10, y=4

Step-by-step explanation:

3x-3y=18

(-)3x-(-)8y=-(-)2 -3x+8y=2 add to first equation to eliminate x

5y=20

y=4

substitute y with 4

3x-3(4)=18

3x=30

x=10

x=10,y=4

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Solve for f: 6f + 9g = 3g + f

andrezito [222]

Answer:

f= -(6/5)g

Explanation:

We have been given the expression 6f+9g = 3g+f

Solve for f means find the value of f

We will simplify the given expression:

we will collect the values of f at one side and g on the other side

So, rewriting the given expression 6f+9g =3g+f as 6f-f=3g-9g

So, after simplification it will lead to 5f= -6g

After further simplification f= -(6/5)g which is the final result

3 0

2 years ago

Read 2 more answers

What is the scale factor of the dilation shown? Quadrilateral D E F G has side lengths 4, 10, 8, and 4. Quadrilateral D prime E

ira [324]

Answer:

i think the scale factor is 3:2

Step-by-step explanation:

To figure the total difference divide:

6 divided by 4 = 1.5

1.5 = 3/2

pls tell me if wrong

Hope this helps

8 0

2 years ago

I will give you 50 point please help and get. it right

natita [175]

6)The experimental probability is 39%.(39/100(100)).

7) The theoretical probability is theoretical. This is when something should happen without taking external forces into account. Experimental probability is taking the external forces into account which is why the probability is not as clean cut.

The theoretical probability should be 33%.
The experimental probability is actually 39%.

4 0

3 years ago

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

3 years ago

Read 2 more answers

HELP MEH NOW PLZ :_(

bulgar [2K]

Answer: hey sup fellow player

Step-by-step explanation: how’s life eh?

5 0

2 years ago