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3 years ago

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Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Answer:

Hello! the answer is CD is 17,0 (-2,19)

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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

Ariyonne claims (3,6) that is the point of intersection of the lines y=4x-2 and y=1/2x+5 Is she correct? How do you know?

yan [13]

Answer:

The point of intersection of the lines is $(2,6)$ .

Thus, Ariyonne's claim is incorrect.

Step-by-step explanation:

Given equations:

1) $y=4x-2$

2) $y=\frac{1}{2}x+5$

To find the point of intersection, we need to solve the given system of equations.

In order to solve the system we will use substitution method.

We will substitute value of $y$ from first equation in the second equation and solve for $x$

So, we have

$4x-2=\frac{1}{2}x+5$

Multiplying both sides by 2 to remove fraction.

$2\times(4x-2)=2\times(\frac{1}{2}x+5)$

Using distribution.

$8x-4=x+10$

Subtracting both sides by $x$

$8x-4-x=x+10-x$

$7x-4=10$

Adding 4 to both sides.

$7x-4+4=10+4$

$7x=14$

Dividing both sides by 7.

$\frac{7x}{7}=\frac{14}{7}$

$x=2$

We can find value of $y$ by plugging in $x=2$ in the first equation.

$y=4(2)-2$

$y=8-2$

$y=6$

So, the point of intersection of the lines is $(2,6)$ .

Thus, Ariyonne's claim is incorrect.

3 0

3 years ago

Write your answer using integers, proper fractions and improper fractions in the simplest form

Elenna [48]

Answer:

y = ⁷/5x + 13/10

Step-by-step explanation:

Recall: equation in slope-intercept form is given as y = mx + b

Thus, let's rewrite 14x - 10y = -13 in this form.

14x - 10y = -13

Add -14x to both sides

-10y = -14x - 13

Divide both sides by -10

-10y/-10 = -14x/-10 - 13/-10

y = ⁷/5x + 13/10

6 0

3 years ago

. Complete the following equation using <, >, or = 7 ___24∕4 A. = B. > C.

Ludmilka [50]

The answer Should be B

5 0

3 years ago

Please helppppppppp meeeeeeeeeeeee

pashok25 [27]

Answer:

Step-by-step explanation:

Because 300 is the only liked denominator between the two

hopefully this is helpful

7 0

3 years ago

Read 2 more answers