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prisoha [69]
3 years ago
11

Please help me with finding both area and perimeter of the shape.

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0
Perimeter=106ft
Area=448ft^2

Make sure you remember to subtract various values to find the length of missing sides.
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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

6 0
4 years ago
Read 2 more answers
Kyle spends an equal amount of money each day. After 4 days, he had 4/5 of his money left. After another 10 days he had $30 left
Elden [556K]
4 days spending equal amounts so if x is how much he spends per day and y is the original amount then 4x=1/5y bc he has 4/5 left meaning what he spent was 1/5 of the original and after 10 more days which was 14 total he spent all but 30 so the total minus 30 will be how much kyle spent so
14x=y-30 which is y=(14x+30) and substitute that in for y in 4x=1/5y so 4x=1/5 (14x+30)
20x=14x+30
6x=30
x=5 and plug that in either of the original equations 4(5)=1/5y
y=100
so he had $100 and spent $5 per day
4 0
3 years ago
Read 2 more answers
Find the equation of the line given the slope and the y-intercept
GREYUIT [131]

Answer:

y = \frac{1}{2}x + 3

Step-by-step explanation:

The equation for a linear graph is usually written in the following format...

y = mx + b

Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...

y = \frac{1}{2}x + 3

7 0
3 years ago
PLEASE HELP ME!!!
PSYCHO15rus [73]
1) 3x=(4x+50-30)/2
x=10

Explanation: (1/2)(big arc - small arc), plug in the numbers and solve

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x=22

Explanation: a•b=c•d, plug in the numbers and solve

3) (x+8)•8=(24+4)•4
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Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve
7 0
3 years ago
Two complementary angles have a difference of 22 degrees. What are the two angles?
ArbitrLikvidat [17]

Answer:

If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️

Above sum solution....

one angle =x

other angle =y

According to question

x+y= 90°......(1)

x-y=22°......(2)

from one and two ....by eliminating method...

2y=68

y=68/2

y=34

put y in equation 1

x+y=90°

x+34=90°

x=90°-34

x= 56...

To verify add both

sum = 90°

Hence ..verified...

Step-by-step explanation:

hope its helps u...☺️✌️✌️

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3 years ago
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