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3 years ago

What is the coefficient of the third term in the binomial expansion of (a + b)6?

Mathematics

2 answers:

lana [24]3 years ago

8 0

Answer:

Step-by-step explanation:

i just took it

Alex_Xolod [135]3 years ago

7 0

The answer is for this question is B

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I need help with this two questions.

mezya [45]

Always get rid of denominators first. Multiply both right and left side by 6
-7 (6) = -c (6)/6 + 12(6)
-42 = -c + 72
c = 72 +42
c = 114

rearrange like terms together
42 = 18 - 4x
4x = 18 -42
4x = -24
divide both sides by 4
x = -6

8 0

3 years ago

Prove the identity (sin6x)/(1+cos6x)=tan3x.

Vikentia [17]

Use double angle identity
$sin(2x) = 2 sin x cos x \\ \\ cos(2x) = 2cos^2 x - 1$

We can relate '6x' to '3x' in the same way since 6 is 2*3.
$sin(6x) = 2 sin (3x) cos (3x) \\ \\ cos(6x) = 2cos^2 (3x) - 1$

Now sub into left side of identity. Simplify until it equals right side.
$\frac{2 sin(3x) cos(3x)}{1+(2cos^2 (3x) -1)} = \frac{2 sin(3x) cos(3x)}{2cos^2 (3x) } = \frac{sin(3x)}{cos(3x)} = tan (3x)$

3 0

4 years ago

Piecewise Functions

Lisa [10]

Answer:

(0, -5), (3, -6), (4, -8)

4 0

2 years ago

What is the length of de

shutvik [7]

Answer:

B. 37 units

Step-by-step explanation:

DE = 4x + 1

AB = 11x - 25

DE is a midsegment of the ∆ABC

Therefore:

DE = ½(AB) => Triangle Midsegment Theorem

4x + 1 = ½(11x - 25)

2(4x + 1) = 11x - 25

8x + 2 = 11x - 25

Collect like terms

8x - 11x = -2 - 25

-3x = -27

-3x/-3 = -27/-3

x = 9

✔️DE = 4x + 1

Plug in the value of x

DE = 4(9) + 1 = 36 + 1

DE = 37

6 0

3 years ago

Draw and label a rectangle that has a lesser area than the area of a square that

n200080 [17]

Answer:

6u2

Step-by-step explanation:

6u2 is the units inside of the rectangle

6 0

3 years ago