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muminat
3 years ago
7

What is the product? CORRECT ANSWER'S ONLY

Mathematics
1 answer:
dem82 [27]3 years ago
3 0
<u><em>Answer:</em></u>
\frac{8x}{x-5} which is option D

<u><em>Explanation:</em></u>
When multiplying fraction, we multiply the numerators by each other and the denominators by each other to get the final answer.

<u>The given expression is:</u>
\frac{x+2}{x-5} *  \frac{8x}{x+2}

<u>1- we multiply the numerators by each other and the denominators by each other. This will give us:</u>
\frac{(x+2)(8x)}{(x-5)(x+2)}

2- We can note that there is (x+2) common on both the numerator and the denominator. Therefore, <u>we will cross out this factor from both numerator and denominator. This will give us:</u>
\frac{8x}{x-5}

Since no further simplification can be done, therefore, our final answer would be \frac{8x}{x-5}

Hope this helps :)

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Which of the following of x and y would make up the following expression represent a real number? (4+5i)(x+yi)
salantis [7]

Answer:

x = 4 and y = - 5

Step-by-step explanation:

note that the product of a complex number and it's conjugate is real

That is

(a + bi)(a - bi) where a, b are real

= a² - abi + abi - b²i²

= a² + b² ← a real number

For (4 + 5i)(x + yi) to be real

we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i

(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5



8 0
3 years ago
Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)
marshall27 [118]

Answer:

(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7

Step-by-step explanation:

Given

(4x^3y^5)(3x^5y)^2

Required

The equivalent expression

We have:

(4x^3y^5)(3x^5y)^2

Expand

(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2

Further expand

(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2

Apply laws of indices

(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7

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3 years ago
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~

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Hope it helped,



BioTeacher101


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