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2 years ago

What property is show in this problem? 11 x (4+5) = 11 x 4 + 11 x 5

Mathematics

1 answer:

Zarrin [17]2 years ago

3 0

44 + 55=11 x 4 + 11 x 5
99 = 44 + 55
99 = 99
Infinity solution

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Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Divide

IgorC [24]

Answer:

The answer is option 2.

Step-by-step explanation:

Firstly, you must factorize the possible expressions :

$\frac{ {x}^{2} - 2x - 15 }{x - 3} \div \frac{x - 5}{ {x}^{2} - 9 }$

$= \frac{(x - 5)(x + 3)}{x - 3} \div \frac{x - 5}{(x - 3)(x + 3)}$

Next you have to divide by converting to multiplication :

$= \frac{(x - 5)(x + 3)}{x - 3} \times \frac{(x - 3)(x + 3)}{x - 5}$

Lastly, you can cut out the similar expressions :

$= \frac{(x - 5)(x + 3)(x - 3)(x + 3)}{(x - 3)(x - 5)}$

$= {(x + 3)}^{2}$

7 0

2 years ago

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

2 years ago

Can someone please help me

mart [117]

Answer:

x = 25

Step-by-step explanation:

3x = 75

divide both sides by 3

x = 25

5 0

2 years ago

I’m not sure about this please help

castortr0y [4]

Answer:

Step-by-step explanation:

Evaluate x/4 + 6 (x - 12) where x = 12:

x/4 + 6 (x - 12) = 12/4 + 6 (12 - 12)

Hint: | Reduce 12/4 to lowest terms. Start by finding the GCD of 12 and 4.

The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:

3 + 6 (12 - 12)

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

6×0 + 3

Hint: | Any number times zero is zero.

0×6 = 0:

0 + 3

Hint: | Simplify the expression.

Write 3 + 0 as 3:

Answer: 3

3 0

2 years ago

Read 2 more answers

PLEASE HELP!! I'll make brainliest

Gekata [30.6K]

Sorry people send you links instead of actually helping you

5 0

2 years ago