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trapecia [35]
3 years ago
13

Find the third term in the expansion of (a+b)^9 in the simplest form

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

The\ third\ term\ is\ \boxed{36a^7b^2}\\

Step-by-step explanation:

\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\

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The perimeter of a tennis court is 210 feet if the tennis court is 27 feet wide, what is the length
Troyanec [42]
I got this:

Tennis court is a rectangle
(Rectangle - 2 sides the same length and the other 2 sides the same. So 2 pairs of equal length sides)

If one is 27 the other has got to be 27 as well - 27+27= 54
210 - 54 = 156
156 / 2 = the other "pair"

Hope that helps and correct me if I'm wrong!
4 0
3 years ago
What is the value of x to the nearest tenth?<br> 3.1<br> 4.8<br> 5.4<br> 3.5
Tanya [424]

Answer:

5.4

Step-by-step explanation:

I am not really sure about this type of problem, but a diameter has to cross the midpoint of the circle the dark dot and hit two point on both side of the circle. Yet the line 9.6 is not a diameter since it didn't go through the center, so the diameter has to be longer than 9.6. But x is looking for radius. so divide 9.6 by 2 u get 4.8 but that is not a diameter and the real diameter is longer that mean the radius is longer so the only answer is 5.4

8 0
4 years ago
7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4.
bagirrra123 [75]

The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4

Hence,

perpendicular lines follows the rule below:

m₁m₂ = -1

Hence,

5x - 3y = 4

5x - 4 = 3y

y = 5/ 3 x - 4 / 3

m₁ = 5 / 3

5/3 m₂ = -1

m₂ = - 3 / 5

Hence,

using (-4, 5)

5 = - 3 / 5 (-4) + b

5 = 12 / 5 + b

b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5

Therefore,

y = -3 / 5 x + 13 / 5

learn more on equation of a line here: brainly.com/question/10727767

#SPJ1

6 0
2 years ago
Read 2 more answers
Which is the simplified form of r-7 + s-12?
timama [110]

Answer:

\frac{1}{ {r}^{7} }  +  \frac{1}{ {s}^{12} }

3 0
2 years ago
Find the length of AB if AC=18 and BC=7
kotegsom [21]

Answer:

25

Step-by-step explanation:

Step 1:

AC + BC = AB       Equation

Step 2:

18 + 7 = AB     Substitute

Answer:

25     Add

Hope This Helps :)

3 0
3 years ago
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