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kotykmax [81]
3 years ago
9

What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the qua

ntity of x plus 6?
the quantity of x squared plus 20x plus 66, all over 9 times the quantity of x plus 6
the quantity of x squared plus 2x minus 6, all over 9 times the quantity of x plus 6
the quantity of x plus 1, all over the quantity of 3 minus x
the quantity of 1, all over the quantity of 3 minus x
Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

The simplified form is:

\frac{x^2+2x-6}{9(x+6)}

Step-by-step explanation:

We want to simplify

\frac{x+5}{9}-\frac{x+4}{x+6}


The least common denominator is


9(x+6)


We collect LCD to obtain,

\frac{(x+5)(x+6)-9(x+4)}{9(x+6)}


Next, we expand brackets to obtain,

\frac{x^2+6x+5x+30-9x-36}{9(x+6)}


We group like terms to get,

\frac{x^2+6x+5x-9x+30-36}{9(x+6)}


This simplifies to,

\frac{x^2+2x-6}{9(x+6)}


The correct answer is B.



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Elza [17]

Answer:

the answer is b

Step-by-step explanation:

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5 0
3 years ago
Two planes are heading toward each other. One plane is traveling at 450 mph, and the other plane is traveling at 375 mph. What i
gavmur [86]

Answer:

the rate at which the distance between the planes is changing is 825 each hour

Step-by-step explanation:

The computation of the rate at which the distance between the planes is changing is shown below

= Travelling one plane + travelling another plane

= 450 mph + 375 mph

= 825 mi each hour

Therefore the rate at which the distance between the planes is changing is 825  each hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered

3 0
2 years ago
What is the slope of the line that passes through (-3,-7) and (1,9)
Rus_ich [418]

To find slope, use the formula:

(y2-y1)/x2-x1)

So here is what it will look like:

(9--7)/(1--3)

Since you are subtracting a negative, then it turns unto a positive so you are adding the numbers together.  

(9+7)/1+3)

16/4

4

The slope of the line is 4/1 or 4.  Which means that you will go up or "rise" 4 and go to the left or "run" 1.


Hope this helps!

4 0
3 years ago
Use the distributive property for 4*29=
Bezzdna [24]
(4×20)+(4×9)=80+36=116
this is the <span>distributive property

I hope this helped!!!:)</span>
3 0
3 years ago
Skydiver is falling about 176 feet per second how many feet per minute
svlad2 [7]
1 minute has 60 seconds. So, we'll multiply the numerator and the denominator by 60.

176 feet/1 second = 10,560 feet/1 minute
6 0
3 years ago
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