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3 years ago

Classify the system and determine the number of solutions.x − 4y + 7z = 143x + 8y − 2z = 137x − 8y + 26z = 5

Mathematics

1 answer:

vovangra [49]3 years ago

4 0

made this on Word Doc

Hope this helps!

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Find LCM of: x2 - 9, 3x3 + 81

VikaD [51]

Answer:

$\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}$

Step-by-step explanation:

Given two expressions ,

$\qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81$

And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .

Factorising x² - 9 :- 

$= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ]$

Factorising 3x³ + 81 

$= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] }$

Hence we can see that (x+3) is common factor in both expressions.

Hence the LCM is ( x+3 ) .

8 0

3 years ago

4(3x – 1) – 2(6 + 2x)

krok68 [10]

Answer:

12x - 12

Step-by-step explanation:

4(3x)= 12x

-2 x 6 = -12

And since you are taking away 12 it works.

( Have a nice day hope this helps)

6 0

3 years ago

Read 2 more answers

Anna [14]

Volume of cylinders = pi x r^2 x height Simplifying the ratio: 1.6/3 = 16 / 30 (multiply and divide by 10 to remove the decimal) Volume Ratio = 512:27

5 0

3 years ago

What is area model?

vlada-n [284]

Answer:

In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the factors or the quotient and divisor define the length and width of the rectangle. ... Then we add to get the area of the whole, which is the product or quotient.

3 0

3 years ago

How to subtract algebraic fractions

sveticcg [70]

Answer:

$\frac{5x+16}{(x+4)(x+6)}$