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aev [14]
3 years ago
10

Help please with explain so for further questions like this

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0
Rmember (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)this is just alot of busy work

find f+g first then find f-g


f+g=(x-4)/(x+9)+(x-9)/(x+4)
make denomenator the same
multiply left one by (x+4)/(x+4) and right one by (x+9)/(x+9)
[(x-4)(x+4)]/[(x+9)(x+4)]+[(x-9)(x+9)]/[(x+9)(x+4)]
[x²-16]/[(x+9)(x+4)]+[x²-81]/[(x+9)(x+4)]
[x²+x²-16-81]/[(x+9)(x+4)]
[2x²-97]/[(x+9)(x+4)]

now f-g
[x²-16]/[(x+9)(x+4)]-[x²-81]/[(x+9)(x+4)]
[x²-x²-16+81]/[(x+9)(x+4)]
[65]/[(x+9)(x+4)]


now we got
\frac{ \frac{2x^2-97}{(x+9)(x+4)} }{ \frac{65}{(x+9)(x+4)} }
invert and multiply
(\frac{2x^2-97}{(x+9)(x+4)})(\frac{(x+9)(x+4)}{65})
\frac{2x^2-97}{65}

2nd option
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Please help on this one?
rodikova [14]

Answer:

\large\boxed{A.\ \dfrac{4}{x-9}}

Step-by-step explanation:

\dfrac{4(x-2)}{(x-2)(x-9)}\\\\\text{canceled}\ (x-2)\\\\=\dfrac{4}{x-9}

4 0
2 years ago
(b) Carlos removed 56 fish from his pond over a period of 7 days. He removed the same number
Pavlova-9 [17]
Well supposing that you want all fish gone -

The answer would be 8

56 (divided) 7 = 8
Day 1 - 48
Day 2 - 40
Day 3 - 32
Day 4 - 24
Day 5 - 16
Day 6 - 8
Day 7 - 0

Hope this was what you were looking for :)
6 0
2 years ago
What is the area of the triangle in centimeters squared?​
vekshin1
112 centimeters squared

Explanation:
The formula for area of a triangle is:
1/2 • base • height

REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong

Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112

FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared

Have a nice day, hope this helps!
5 0
2 years ago
PLEASE HELP and explain! ill give brainliest if you do
EastWind [94]

Area of the rectangle

= l  \times b

= 8 \times 6

= 48 {in}^{2}

Area of the semicircles

= 2 \times ( \frac{1}{2} \pi {r}^{2} )

= \pi {r}^{2}

= \pi {3}^{2}

= 9\pi

= 9 \times 3.14

= 28.26 {in}^{2}

Area of the figure

= 48 + 28.26

= 76.26 {in}^{2}

= 76.3in²

(rounded)

6 0
2 years ago
Read 2 more answers
Set X consists of 100 numbers. The average (arithmetic mean) of set X is 10, and the standard deviation is 4.6. Which of the fol
kompoz [17]

Answer:

E. 10 and 10

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

Here, since standard deviation is the ratio of the distance from the mean and sample size. So for decreasing the standard deviation we should keep numerator constant and increasing the denominator.

This can be only possible in option (E).

Hence, only Option (E) is correct.

5 0
3 years ago
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