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Elis [28]
3 years ago
12

Simplify the following rational expression

Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Step-by-step explanation:

as the denominator (x+3) is in both you need only one denominator to be multiplied in first rational number .

<u>2</u><u>x</u><u> </u><u>(</u><u>x-2</u><u>)</u><u>. </u><u> </u><u> </u>+ <u>5</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u>

(x+3) (x-2). (x+3) (x-2)

<u>2</u><u>x</u><u>^</u><u>2</u><u>-</u><u>4</u><u>x</u><u> </u><u>+</u><u>5</u><u> </u>

<u>(</u>x+3) (x-2)

it's cannot be solved after that.

mariarad [96]3 years ago
7 0

Answer: The simplified expression is

(2x² + x + 15)/(x + 3)(x - 2)

Step-by-step explanation:

The given expression is

2x/(x+ 3) + 5/(x + 3)(x - 2)

Looking at the denominator, the Lowest common factor is (x + 3)(x - 2). Multiplying through by (x + 3)(x - 2), it becomes

[2x(x - 2) + 5(x + 3)]/(x + 3)(x - 2)

We would simplify by applying the distributive property. Each term inside the bracket is multiplied by each term outside the bracket. It becomes

[2x² - 4x + 5x + 15)]/(x + 3)(x - 2)

= (2x² + x + 15)/(x + 3)(x - 2)

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-90= 5y-20

-90+20= 5y-20+20

-70=-5y

-70/-5= -5y/-5

y= 14

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3 years ago
How to subtract percentages that are fractions
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PLS HALP I'm stuck on number 31
Marta_Voda [28]
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.

30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:

(4√3)/3

and then add that to 2√3:

(4√3)/3 + -2√3

(4√3)/3 + (-6√3)/3 = (-2√3)/3

We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).

60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:

4 x √3 = 4√3

4√3 + -2√3 = 2√3

So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).

hope that helps! if you liked this answer please rate it as brainliest!! thank you!!!

8 0
3 years ago
The area of a rectangular patio is 384 square feet.
Usimov [2.4K]

the ratio of the length and width = 3:2

Step-by-step explanation:

let the length be =x

width be = \frac{2x}{3}

area of a rectangle = length X width

so, x X \frac{2x}{3} = 384

or, x^{2} X 2/3 = 384

or, x^{2} = (384 X 3)/2

= 576

or, x = 24 ( taking square root)

hence, length is 24

width is = 24 X (2/3)

=16

so the ratio of length and width = 24 : 16

= 3:2

3 0
3 years ago
Tis
marissa [1.9K]

Answer:

B, 60

Step-by-step explanation:

<em>red : blue</em>

3 : 4

3 (20) : 4 (20)

60 : 80

7 0
3 years ago
Read 2 more answers
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