MATHEMATICS HIGH SCHOOL

Simplify the expressions by combining like terms1. 6n^2 - 2n - 3 + 5n^2 - 9n - 6
2. 8c^2 - c + 3 + 2c^2-c + 2

Answers

Answer 1

Answer:

Hey!

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Question #1:

= 6n^2 - 2n - 3 + 5n^2 - 9n - 6

= 6n^2 + (-2n) + (-3) + 5n^2 + (-9n) + (-6)

= (6n^2 + 5n^2) + (-2n + -9n) + (-3 + -6)

= (11n^2) + (-11n) + (-9)

Answer: 11n² + (-11n) + (-9)

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Question #2:

= 8c^2 - c + 3 + 2c^2 - c + 2

= 8c^2 + (-c) + 3 + 2c^2 + (-c) + 2

= (8c^2 + 2c^2) + (-c + -c) + (3 + 2)

= (10c^2) + (-2c) + (5)

Answer: 10c² + (-2c) + 5

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Hope This Helped! Good Luck!

Answer 2

Answer:

Answer:

1. 11n^2-11n-9

2. 10c^2-2c+5

Step-by-step explanation:

1. 6n^2+5n^2 = 11n^2

-2n-9n = -11n

-3-6=-9

2. 8c^2+2c^2 = 10c^2

-c-c= -2c

3+2=5

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Free brainleist

What is (75 x 2) + (6-3)

Answers

Answer:

(75x2)+(6-3)

These equations are in parentesis so they happen first.

75x2=150. If we take 70 and multiply it by 2 we get 140. If we multiply 5 by 2 we get 10. So 140+10=150.

6-3 is next. That is common knowledge and we know its 3.

No we add 150+3=153 to get our answer.

Parenthesis first

Exponets after parenthesis

Multiplying going left to right

Divinding left to right

Adding left to right

Subtracting left to right

Step-by-step explanation:

I hope this helped and if so plz give brainliest.

Answer:

153

Step-by-step explanation:

(75 x 2) + (6-3)

150+(6-3)

150+3

153

Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive :)

Answers

Constructive. To prove that there is a positive integer that equals the sum of the positive integers not exceeding it. A plain and simple example is
1.1 + 2 = 3
2.10 + 50 + 100 =160
3.6x + 8x + 2x = 16 x

Notice that the sum of the numbers is always greater than the addends. This only proves that any positive sum of any two positive addends will not compare and thus the addends not exceeding a greater value than the sum.

If....1=5 , 2=10, 3=30, then 4=?

Answers

The fourth term of the sequence will be 110

The given expression forms a sequence 5, 10, 30 ...

First term = 5

Second term = 10

Third term = 30

Let the fourth term be x

Taking their common difference

10 - 5 = 5

30 - 10 = 20

Since the multiplicity of the common difference is 4

Then T4 = 20(4) + 330

T4 = 80 + 30

T4 = 110

Hence the fourth term of the sequence will be 110

Learn more here: brainly.com/question/19102890

Your answer will be 4=120 because if you see how the pattern is going you'll notice that they are multiplying the last number to the first number. For example:
1=5, 2=10, 3=30

5 10
x 2 x 3
___ ___
10 30
So that means that:
30
x 4
___
120

What is 2.2 as an improper fraction

Answers

2.2 as an improper fraction is 11/5

Use the unit circle to find the value of cot (–270°). Question 3 options: cot (–270°) = 1 cot (–270°) = –1 cot (–270°) = 0 undefinedQuestion 3 options:

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined

Answers

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

trigonometry table

II quadrant I quadrant ( All positive)

sin θ 90+θ 90 -θ

cosec θ 180-θ 360+θ

third quadrant fourth quadrant

tan θ 180+θ cos θ 270+θ

cot θ 270 - θ sec θ 360-θ

Given

cot (-270) = -cot ( 270)

= - cot ( 180 + 90) (third quadrant above table)

= -cot 90 =0 ( cot θ positive in third quadrant

Final answer:-

cot(-270) =0

Final answer:

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.

Explanation:

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.