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3 years ago

Use the substitution method to solve the following system of equations.

Mathematics

2 answers:

Vika [28.1K]3 years ago

4 0

Answer:

(x,y)=(2,0)

Step-by-step explanation:

Use the first equation to find x. add 1/6 y on both sides, then multiply by 6/5 to get x by itself.

you will get x=2+1/5y

Now you substitute the x value into the second equation

1/2(2+1/5y)+3/4y=1

Distribute the 1/2 to get

1+1/10y+3/4y=1

The only possible value for y is 0.

Now you know y = 0.

Now substitute 0 in for the y in the x value

x = 2+1/5y

x=2+0

x=2

Therefore your answer is (2,0) or x=2 y=0

irakobra [83]3 years ago

4 0

(x,y)= (2,0) because that’s how you do it

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Show all work to multiply (3+√-16)(6√-64)

tatuchka [14]

Answer:

$\large\boxed{(3+\sqrt{-16})(6\sqrt{-64})=-192+144i}$

Step-by-step explanation:

$\sqrt{-1}=i\to i^2=-1\\\\(3+\sqrt{-16})(6\sqrt{-64})=(3+\sqrt{(16)(-1)})(6\sqrt{(64)(-1)})\\\\=(3+\sqrt{16}\cdot\sqrt{-1})(6\cdot\sqrt{64}\cdot\sqrt{-1})=(3+4i)\bigg((6)(8i)\bigg)\\\\=(3+4i)(48i)\qquad\text{use the distributive property}\ (b+c)a=ba+ca\\\\=(3)(48i)+(4i)(48i)=144+192i^2\\\\=144i+192(-1)=-192+144i$

5 0

3 years ago

2. Simplify 2(54−1)3

Romashka [77]

Answer:

3738

Step-by-step explanation:

use PEMDAS

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

one of those things above are not in the equation the skip it and for multiplication, division and addition, subtraction do not have to be done in order it is first come, first done for. Example if there was a 1/2+3(4) you would do the division first

you always do the parentheses first

5 to the 4 power is 625

then you are left with

2(625-1)3then do 625 -1 is 624

and because of first come, first served and the 2 is first multiply the 2 to 624

you get 1246

then you have (1246)3

now you do 1246 multiplied by 3 and get your final answer

Hope this helps

Please mark me as brainliest

8 0

3 years ago

Read 2 more answers

A worm moves forward 3/8 inch every 5 minutes for 1 hour 25 minutes. How fast does the worm move in this time?

Alina [70]

Multiply 3/8 inch by 75 and divide by 5

6 0

4 years ago

Read 2 more answers

What is 10 - 5 2/3??

Roman55 [17]

10 - 5(2/3)
10 - 3(1/3)
20/3 is your final answer

4 0

3 years ago

The titanic was 882 feet 9 inches long. You can build a model of the ship that is 2nfeet 6 inches long and 6 inches high. What w

tigry1 [53]

So the actual titanic was 882 feet and 9 inches long, and the model is 2 feet and 6 inches.

1.) Convert both the model and the real titanic to inches.
882 feet = 10584 inches (multiply 12) plus another 9 inches is 10593 inches

And for the model,
2 feet is 24 inches plus another 6 inches is 30 inches.

2.) Find the scale factor compared to the model and the actual thing.
The actual thing is 10,593 and the model is 30 inches. Divide 10593 by 30 to find the scale factor. You should get 353.1

3.) Multiply the scale factor to the height.
Since we have the model height and the scale factor, to find the actual height we can just multiply the model height times the scale factor.

6 inches x 353.1 = 2118.6 inches
That means the titanic's actual height is 2118.6 inches

4.) Round to the nearest inch.
Because the instructions say round to the nearest inch, we must round 2118.6 to the nearest inch.
You should get 2119 (because the 6 in the tenths place is greater than 4)

Our final answer is 2119 inches. :)

4 0

3 years ago