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svetlana [45]
2 years ago
15

What is the coefficient of x7 in the expansion of (1 + x)11?

Mathematics
1 answer:
eduard2 years ago
4 0
You can choose to expand the equation to find the coefficient of x7 but that would take a lot of time. Here is a useful tactic that can help; 

11C(something)(1)(x)⁷ ----> This gives the coefficient of x⁷
11C7(1)⁴(x)⁷ ----> You know that pascal's triangle is equal on both sides 
11C7×1⁴ = coefficient of x⁷ (just ignore x⁷)
330x1⁴=330 

This means that the coefficient of x⁷ is 330. You can double check by expanding the equation. If you do not understand what I did there, you can ask me how I got to the solution. 

Hope I helped :) 
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Pint-Sized Portraits has 6 different backgrounds and 3 poses in which to photograph children. How many different pictures are th
svetlana [45]

It’s 18 since it’s just 6(3)

6 0
3 years ago
Read 2 more answers
What is the approximate length of the missing side of a
ANEK [815]

Answer:

The approximate length of the missing side is of 5.57 cm.

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle with sides a and b and hypotenuse c, the Pythagorean theorem states that:

a^2 + b^2 = c^2

In this question:

a = 15, c = 16

We want to find b. Then

a^2 + b^2 = c^2

15^2 + b^2 = 16^2

b^2 = 256 - 225

b^2 = 31

b = \sqrt{31}

b = 5.57

The approximate length of the missing side is of 5.57 cm.

8 0
2 years ago
I need help with this​
Sindrei [870]

9514 1404 393

Answer:

  4

Step-by-step explanation:

Dilation centered at the origin multiplies each individual coordinate by the scale factor. Considering the x-coordinates of W and W', we have ...

  scale factor = Wx'/Wx = -12/-3 = 4

The dilation scale factor is 4.

3 0
2 years ago
#1. Convert the following expression into radical form.<br><br>x4/3​
miskamm [114]

Answer:

³√x^4

Step-by-step explanation:

8 0
2 years ago
Factorize x squared - 1x +10 =0
Natalka [10]

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

6 0
3 years ago
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