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ddd [48]
3 years ago
10

A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps. If each piece of paper has

side lengths of 1 foot, what is the total area of the bulletin board?​
Mathematics
1 answer:
9966 [12]3 years ago
7 0
Can you help me please I need help with a couple of questions
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Find the sum.172 + (–167) + (–10) + (–144)
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The answer is negative 149
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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
3 years ago
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I NEED THIS ASAP Are two regular hexagons always congruent? Explain your answer
Scorpion4ik [409]
The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.
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Four runners start at the same point; Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes t
Natalka [10]

Answer:

See the answers in the explanation

Step-by-step explanation:

Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?

time= 29 seconds

speed= 7.2 m/s

distance= speed*time

distance= 7.2*29

distance=208.8 m

Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?

time= 26 seconds

distance= 240meters

velocity= distance/time

velocity= 240/26

velocity=9.23 m/s

Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?

time= 33 seconds

velocity

distance=velocity*time

distance=33*6.1

distance= 33*6.1

distance=201.3 m

Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?

time= 38 seconds

distance= 295m

velocity= distance/tim

velocity= 295/38

velocity= 7.76m/s

6 0
3 years ago
The slope of the graphed line is 2. Which formulas 3 represent the line that is graphed? Check all that apply. y-1 = (x - 2) 3 O
yuradex [85]

Answer:

never ever learned this but maybe The answer is:

b. y - 2 = 2/3(x-1)

c. y - 4 = 2/3(x-4)

e. f(x) = 2/3 + 4/3

Step-by-step explanation:

bce

3 0
3 years ago
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