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myrzilka [38]
3 years ago
7

Expand (a+b)^7 using pascal triangle

Mathematics
1 answer:
Inga [223]3 years ago
8 0

(a+b)^7= a^7+ 7a^7b+ 21 a^6b²+ 35a^5b³+ 35 a⁴b⁴+ 21 a³b^5 + 7a²b^6 + b^7

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Nastasia [14]

Answer:

v = 25

Step-by-step explanation:

The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.

Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.

Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.

The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.

Thus, we can conclude that GH and HI are the same length.

Since we know the following:

GH = 4v - 75

HI = v

We can set GH and HI equal to each other and solve the equation.

4v - 75 = v

Subtract v from both sides:

3v - 75 = 0

Add 75 to both sides:

3v = 75

Divide both sides by 3:

v = 25

Answer: v = 25

5 0
3 years ago
Read 2 more answers
Can someone please help me find the domain, range, intercepts, and asymptotes pf this function?
marishachu [46]
1) given function

y = - 2 ^ ( -x + 2) + 1

2) domain: domain is the set of the x-values for which the function is defined.

The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.

3) x-intercept => y = 0

=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1

=> - x + 2 = 0 => x = 2

The x-intercept is x = 0

4) y-intercept => x = 0

=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2)  1 = - (2)^(2) + 1 =- 4 + 1 = - 3

=> The y-intercept is - 3

5) limit when x -> negative infinite

Lim f(x) when x -> ∞ = - ∞

6) limit when x -> infinite

Lim f(x) when x - > infinite = 1

=> asymptote = y = 1

7) range is the set of values of the fucntion: y

Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1

Range (-∞,1)


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3 years ago
The number of library books increased by 20% after it bought new books in May. The number increased by another 20% after someone
anygoal [31]

Answer:

               

Step-by-step explanation:

4 0
3 years ago
Can someone help me with this??
solmaris [256]
Its easy All u got to do is use times then do  sub then put it in the boxes That's how u will find you "plus do your best try and  try"




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3 years ago
Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

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taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

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these are the principal values

now we need to add 360

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3 years ago
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