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3 years ago

How many terms are in the binomial expansion of (3x + 5)9? 8 9 10 11

Mathematics

2 answers:

Stells [14]3 years ago

6 0

The number of terms in the binomial expansion of (3x-5)^9 is 10

Mkey [24]3 years ago

6 0

Answer: 10

Step-by-step explanation:

We know that in the binomial expansion of $(a+b)^n$ , the total number of terms = n+1

For the binomial expansion of $(3x + 5)^9$ , n= 9

Then, the total number of terms in binomial expansion of $(3x + 5)^9$ will be :-

$n+1=9+1=10$

Hence, there are 10 terms are in the binomial expansion of $(3x +5)^9$ .

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If lines AB and CD are parallel, then angles C and E are

lys-0071 [83]

Answer: Angles C and E are same side interior angles.

Step-by-step explanation:

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3 years ago

Need math help please!

Otrada [13]

Answer:

ASA

Step-by-step explanation:

The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.

So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).

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3 years ago

Shown below is a blueprint for a rectangular kennel at a pet hotel.

yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

$length = L = 23\ feet\\breadth = B = 14\ feet\\$

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

$\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet$

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

8 0

3 years ago

You make 12 equal payments your total is 1308 how much is each payment

Dovator [93]

Answer:

109 is the correct answer

7 0

3 years ago

Can you explain to me (detailed) on how to do this problem? I will give you a brainly if you get this right.

7nadin3 [17]

Answer:

60 m^2

Step-by-step explanation:

To solve the area, solve the triangle and rectangle separately.

Solve the rectangle:

Multiply 10 and 4 to get the area of 40 m^2.

Solve the triangle:

Multiply 10 and 4, then divide by 2. The formula for a triangle's area is base*height/2. The area is 20.

Add together:

40+20 = 60 m^2

6 0

3 years ago