Find the 4th term of (x+2)^10

Answers

Answer 1

Answer: (x + 2)¹⁰

Would take the terms in reducing powers of x, and increasing powers of 2.

1st term = ¹⁰C₀ x¹⁰(2)⁰ = x¹⁰

Second term = ¹⁰C₁ x¹⁰⁻¹(2)¹ = ¹⁰C₁ x⁹(2)¹

Third term =    ¹⁰C₂ x¹⁰⁻²(2)² = ¹⁰C₂ x⁸(2)²

Fourth term = ¹⁰C₃ x¹⁰⁻³(2)³ = ¹⁰C₃ x⁷(2)³

So we shall now simplify the fourth term which is = ¹⁰C₃ x⁷(2)³

ⁿCr = n! /( r!(n -r)! )

¹⁰C₃ = 10! /( 3!(10 -3)! ) = 10! / (3!*7!) = (10 *9 * 8* 7!) / (3!*7!)

= 10*9*8 / 3! = (10*9*8) / (3*2*1) = 120

4th term = ¹⁰C₃ x⁷(2)³ = 120 *x⁷*(2)³ = 120*2³*x⁷

   = 120*8x⁷

   = 960x⁷

So the fourth term in reducing powers of x = 960x⁷

I hope this helped.

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Answers

The Answer Is B)...................

- ( 8x + 8 ) = 4 - 4 x

Answers

Distribute: -8x-8=4-4x
Isolate the variables from the constants: -8x+4x=4+8
Combine linked terms: -4x=12
Divide by -4: x=-3

Someone help please someone who is good at geometry!!!!!

Answers

Answer:

Step-by-step explanation:

5x-22 and 88 are the same angle so 5x-22=88.

You simply solve from there.

5x=88+22

5x=110

x=110÷5

x=22

Can someone please help me with this trig question.For a given right triangle, side a = 76.4 feet and side b = 39.3 feet What is the length of side c to the nearest tenth of a foot?

Answers

Let 76.4 be the longestest side. ( hyportinues)
Let 39.3 be the base of right triangle.

so we have to find the adjacent side of right side.
By Pythagoras Theorem.
76.4² = c² + 39.3²
c² = 76.4² - 39.3²
c² = 4261.95
c = √4261.95
c = 65.3 feet

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

$V = (1)/(3)* \text{Area of base}* Height$