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Ahat [919]
2 years ago
13

Select the correct answer.

Mathematics
1 answer:
Xelga [282]2 years ago
7 0
The answer to this problem is 2
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Plz help <br><br> im helping my brother <br><br> :)
Tju [1.3M]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
kirill115 [55]

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)²    --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x)  --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x)  --------(iii)

Step No. 3

Now, we shall simplify the terms within the  parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x)  --------(iv)

Step No. 4

Now, we shall open the  parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x   --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8  --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

8 0
3 years ago
Read 2 more answers
Find the 10th partial sum of the arithmetic sequence defined by
Evgesh-ka [11]

Answer:

22.5


Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

  • Putting 1 in n, \frac{1}{2}(1)-\frac{1}{2}=0
  • Putting 2 in n, \frac{1}{2}(2)-\frac{1}{2}=0.5
  • Putting 3 in n, \frac{1}{2}(3)-\frac{1}{2}=1
  • Putting 4 in n, \frac{1}{2}(4)-\frac{1}{2}=1.5

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

s_{n}=\frac{n}{2}(2a+(n-1)d)

Where,

  • S_{n} denotes the nth partial sum
  • a is the first term (in our case it is 0)
  • n is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
  • d is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5

So the sum of the first 10 terms is 22.5. Third answer choice is right.


8 0
3 years ago
Read 2 more answers
Find the measures of the numbered angles.
Arte-miy333 [17]
1 = 90
2 = 65
3 = 65
4 = 25

90+25=115
180-115=65

have a merry christmas :)
3 0
2 years ago
Please help! acellus
ch4aika [34]

Answer:

The number that belongs <em>in</em> the green box is equal to 909.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

[<em>Right Triangles Only</em>] Pythagorean Theorem:
\displaystyle a^2 + b^2 = c^2

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>a</em> = 30

<em>b</em> = 3

<em>c</em> = <em>x</em>

<em />

<u>Step 2: Find </u><u><em>x</em></u>

Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:

  1. [Pythagorean Theorem] Square root both sides [Equality Property]:
    \displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:

  1. [Equation] <em>Substitute</em> in variables:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}
  2. <em>Evaluate</em>:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.

___

Learn more about Trigonometry: brainly.com/question/27707750

___

Topic: Trigonometry

3 0
2 years ago
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