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3 years ago

What are the coefficients in the expression, 2 + 6 + 10b – 8a?

Mathematics

2 answers:

jolli1 [7]3 years ago

5 0

Answer: 10 and 8

Step-by-step explanation: A coefficient is the number that comes before the variable. I hope this helps :)

sashaice [31]3 years ago

3 0

<h3>Answer: 10 and -8</h3>

The coefficients are the numbers to the left of the variable terms

10b is one variable term with the coefficient 10

-8a is the other variable term with the coefficient -8

The terms 2 and 6 are constants as they don't have any variables multiplied with them.

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Use the Polynomial Identity below to help you create a list of 10 Pythagorean Triples:

Stolb23 [73]

Answer:

(3,4,5)

(6,8,10)

(5,12,13)

(8,15,17)

(12,16,20)

(7,24,25)

(10,24,26)

(20,21,29)

(16,30,34)

(9,40,41)

Just choose 2 numbers from {1,2,3,4,5,6,7,8,...} and make sure the one you input for x is larger.

Post the three in the comments and I will check them for you.

Step-by-step explanation:

We need to choose 2 positive integers for x and y where x>y.

Positive integers are {1,2,3,4,5,6,7,.....}.

I'm going to start with (x,y)=(2,1).

x=2 and y=1.

$(2^2+1^2)^2=(2^2-1^2)^2+(2\cdot2\cdot1)^2$

$(4+1)^2=(4-1)^2+(4)^2$

$(5)^2=(3)^2+(4)^2$

So one Pythagorean Triple is (3,4,5).

I'm going to choose (x,y)=(3,1).

x=3 and y=1.

$(3^2+1^2)^2=(3^2-1^2)^2+(2\cdot3\cdot1)^2$

$(9+1)^2=(9-1)^2+(6)^2$

$(10)^2=(8)^2+(6)^2$

So another Pythagorean Triple is (6,8,10).

I'm going to choose (x,y)=(3,2).

x=3 and y=2.

$(3^2+2^2)^2=(3^2-2^2)^2+(2\cdot3\cdot2)^2$

$(9+4)^2=(9-4)^2+(12)^2$

$(13)^2=(5)^2+(12)^2$

So another is (5,12,13).

I'm going to choose (x,y)=(4,1).

$(4^2+1^2)^2=(4^2-1^2)^2+(2\cdot4\cdot1)^2$

$(16+1)^2=(16-1)^2+(8)^2$

$(17)^2=(15)^2+(8)^2$

Another is (8,15,17).

I'm going to choose (x,y)=(4,2).

$(4^2+2^2)^2=(4^2-2^2)^2+(2\cdot4\cdot2)^2$

$(16+4)^2=(16-4)^2+(16)^2$

$(20)^2=(12)^2+(16)^2$

We have another which is (12,16,20).

I'm going to choose (x,y)=(4,3).

$(4^2+3^2)^2=(4^2-3^2)^2+(2\cdot4\cdot3)^2$

$(16+9)^2=(16-9)^2+(24)^2$

$(25)^2=(7)^2+(24)^2$

We have another is (7,24,25).

You are just choosing numbers from the positive integer set {1,2,3,4,... } and making sure the number you plug in for x is higher than the number for y.

I will do one more.

Let's choose (x,y)=(5,1).

$(5^2+1^2)^2=(5^2-1^2)^2+(2\cdot5\cdot1)^2$

$(25+1)^2=(25-1)^2+(10)^2$

$(26)^2=(24)^2+(10)^2$

So (10,24,26) is another.

Let (x,y)=(5,2).

$(5^2+2^2)^2=(5^2-2^2)^2+(2\cdot5\cdot2)^2$

$(25+4)^2=(25-4)^2+(20)^2$

$(29)^2=(21)^2+(20)^2$

So another Pythagorean Triple is (20,21,29).

Choose (x,y)=(5,3).

$(5^2+3^2)^2=(5^2-3^2)^2+(2\cdot5\cdot3)^2$

$(25+9)^2=(25-9)^2+(30)^2$

$(34)^2=(16)^2+(30)^2$

Another Pythagorean Triple is (16,30,34).

Let (x,y)=(5,4)

$(5^2+4^2)^2=(5^2-4^2)^2+(2\cdot5\cdot4)^2$

$(25+16)^2=(25-16)^2+(40)^2$

$(41)^2=(9)^2+(40)^2$

Another is (9,40,41).

5 0

3 years ago

PLEASE HELP! ITS DUE SOON!!!! I DONT GET THIS!!

o-na [289]

Answer:

d. 50°

Step-by-step explanation:

Since you know one angle and its opposite side, use the law of sines.

sin 36°/11.9 = sin D/15.6

sin D = 15.6 × sin 36° / 11.9

sin D = =0.7705

D = sin^-1 0.7705

D = 50.4°

8 0

2 years ago

I need help pleaseeeeee

-BARSIC- [3]

Answer:

Step-by-step explanation:

total area of triangle is 180

so if 97+53= 150 180-150= 30

hope this helped

plz mark brainlest

i wanna rank up!!!

6 0

3 years ago

If the difference of two numbers is even then so is their sum.

Nutka1998 [239]

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

$2m-2n=2(m-n)$

Now, The sum of the numbers is

$2m+2n=2(m+n)$

Let $m+n=k$ where k is an integer

Then, $2m+2n=2k$ which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is $4-2=2$ , 2 is even.

The sum is $4+2=6$ , 6 is even.

4 0

3 years ago

Please help me guys, its five questions

ruslelena [56]

Answer:

1. A 2.d 3.b 4.a 5. c

Step-by-step explanation:

7 0

3 years ago