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Papessa [141]
3 years ago
10

What is the 8th term of the binomial expansion (x + y)10?

Mathematics
2 answers:
Ber [7]3 years ago
5 0

Answer: 120x³y^7

Step-by-step explanation:

melisa1 [442]3 years ago
4 0

Answer:

120x^3y^7

We can use the Pascal's triangle to solve this question.

This pascal's triangle is shown in the Image below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression is :

(x+y)10

After you do the steps you be left with:

120x^3y^7

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X:y=5:3 and y+x=56 Work out the value of x-y
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Answer:

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3 years ago
For which value of theta is sine theta = negative 1?
Ivan

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

4 0
3 years ago
Read 2 more answers
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