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Elodia [21]
3 years ago
14

Please answer !!!what is the product of the two binomials below?

Mathematics
2 answers:
baherus [9]3 years ago
8 0
Answer = D

Because:

(2A + 3B)(2A - 3B)
= 4A² - 6AB + 6AB - 9B²
= 4A² - 9B²
Andru [333]3 years ago
6 0

Answer: D. 4A^2-9B^2

Step-by-step explanation:

Given expression : (2A+3B)(2A-3B)

We know that there is an identity of product of two binomials :-

(x+y)(x-y)=x^2-y^2

In the given expression , we have x=2A\text{ and}\ y=3B

Then by applying the above identity , we have

(2A+3B)(2A-3B)=(2A)^2-(3B)^2\\\\=4A^2-9B^2

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Given sin A = 12/13 and that angle A is in Quadrant 1,
UkoKoshka [18]

We have been given that \text{sin}(A)=\frac{12}{13} and angle A is in quadrant 1. We are asked to find the exact value of \text{cot}(A) in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}

Now we will find adjacent side using Pythagoras theorem as:

\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2

\text{Adjacent}^2=13^2-12^2

\text{Adjacent}^2=169-144

\text{Adjacent}^2=25

Let us take positive square root on both sides:

\sqrt{\text{Adjacent}^2}=\sqrt{25}  

\text{Adjacent}=5

Therefore, adjacent side of angle A is 5 units.

\text{cot}(A)=\frac{5}{12}

Therefore, the exact value of cot A is \frac{5}{12}.

5 0
3 years ago
What is the answer to 2/5x+3/7=1-4/7x
skelet666 [1.2K]
X=10/17 thats ur answer

7 0
3 years ago
Simplify the expression <br> x+1+ 1/x+1<br> and give your answer in the form of <br> f(x) / g(x)
mr Goodwill [35]
F(x)=(x+1)+1
g(x)=x+1
6 0
3 years ago
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0
3 years ago
56. A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12 cm forming the solid s
icang [17]

Answer:  I think it's 15,872cm

7 0
3 years ago
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