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Marianna [84]
3 years ago
11

Apply the distributive to a factor out the greatest common factor 75+20

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Hi!

First, find the GCF of the numbers.

1, 3, 5, 15, 25, 75

1, 2, 4, 5, 10, 20

The greatest common factor that they have is 5.

Now apply the distributive property.

5(15 + 4)

^the answer

Hope this helps! :)

-Peredhel

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Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to
Vladimir79 [104]

Step-by-step explanation:

Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.

Since they do not have all 3 congruent angles, they are not similar.

8 0
3 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
84784+24849+748429+123456
zhuklara [117]

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

5 0
2 years ago
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Leona [35]
Im pretty sure it’s B
4 0
3 years ago
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Madison made the following table to record the height of each person in her family. If Madison and Jade lay end to end, how far
vitfil [10]

Answer:

10 ft

Step-by-step explanation:

To get their total reach, we add the two numbers.

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Add integers and fractions

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If Madison and Jade lay end to end, they will they reach 10 ft.

6 0
3 years ago
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