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3 years ago

1. Solve the system of equations using the linear combination method.

1 answer:

8 0

The linear combination method involves multiplying, adding and subtracting in such a way that allows one variable to be eliminated in the addition or subtraction step. This leaves the other variable alone, allowing its value to be determined.

1. 5m+3n=41, 3m−6n=9
Multiply 1st equation by 2: 10m + 6n = 82
Add to 2nd equation: 13m = 91
Divide by 13: m = 7
Substitute back to 1st equation: n = 2
Therefore m = 7 and n = 2.

2. 6g+8h=40 −6g+2h=−20
Add both equations: 10h = 20
Divide by 10: h = 2
Substitute to 1st equation: g = 4
Therefore g = 4 and h = 2.

3. 9x+5y=35 2x+5y=0
Subtract 1st equation by the 2nd equation: 7x = 35
Divide by 7: x = 5
Substitute back to the 1st equation: y = -2
Therefore x = 5 and y = -2.

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3. Give an example of an expression with a rational exponent and explain how to convert it into radical form.

asambeis [7]

<h2>Solution -: </h2>

Example -1 

Here we have ,,, 

$(6 \: x) { \frac{9}{5} }^{}$

solve -; 

6x ^9×1/5

 $\big[(6x \: ) {}^{9} ] {}^{ \frac{1}{5} }$ 

Convert on radical form 

 $\sqrt[5]{(6x) {}^{9} }$ 

Example -2 

 $\displaystyle{}a {}^{ \frac{2}{5} } \\ = \sqrt[5]{x {}^{2} } \: \: \: \: \: \: \: \because ( \sqrt[m]{x {}^{n} } )$ 

<h2>__________________</h2><h3>More Basic Information -: </h3>

hair in the question 3x is called radicant and five is called the index of radical. and in second question X is radicant of the number and five and two are index of the number.

types of Radical -: 

pure radical
mixed radical
unequal radical
equal radical

rationalization 

the operation of multiplication of a radical with the other radical to get product a rational number is called rationalisation.

other name 

surds

5 0

2 years ago

The volume of an irregularly shaped geometric object is usually determined by the _____ of _____ it displays.

Arturiano [62]

Volume; Liquid its the answer to your question

6 0

3 years ago

Read 2 more answers

10 POINTS PLEASE HELP!!! IT SEEMS EASY BUT I DONT UNDERSTAND!!!!

Leni [432]

Hello there!

I’m not sure if they want me to add the answers together or just do them separately.

Exponents
(-2)^2=(-2)(-2)=4
(7/6)^2=7/6(7/6)=49/36

I hope this helps!
Best wishes.
-HuronGirl

3 0

3 years ago

Help me please I can’t figure it out

Wittaler [7]

Answer:

2 m

Step-by-step explanation:

The bottom length of the bottom cuboid is equal to the top length of the bottom cuboid.

8 = 3 + c + 3

8 = c + 6

8 - 6 = c

2 = c

6 0

3 years ago

Read 2 more answers

Does anybody know how to do this??

boyakko [2]

just divide 200 until u get 25 i think but idk the second one

3 0

3 years ago