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AveGali [126]
2 years ago
7

(09.02)

Mathematics
1 answer:
Ivenika [448]2 years ago
4 0

Answer:

4th option

Step-by-step explanation:

x² - 2x - 3 = 0 ( add 3 to both sides )

x² - 2x = 3

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 3 + 1

(x - 1)² = 4

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Fiesta28 [93]
The length is 2.4

1.2 times 2 to take away the both width sides
minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4
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3 years ago
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Apiece of paper wieghts 0;647gram what is the wieght of the paper to the nearest tenth of a gram
Svet_ta [14]
0.647 rounded to the nearest tenth = 0.6
7 0
3 years ago
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<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
2 years ago
I’m really struggling! Please help me!!
Andrew [12]

Answer:

8.0

Step-by-step explanation:

The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

tan(37) = \frac{opposite}{adjacent}

tan(37) = \frac{6}{x}

tan(37) evaluates to about , so we can plug it in and solve for x:

0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962

To the nearest tenth, x rounds to 8.0.

4 0
2 years ago
Joseph has 2 2/3 bags of popcorn, Sally has 1 3/4 bags of popcorn. How much do they have together?
Aliun [14]

Answer:

4 5/12 or four and five twelfths or 4 and 5 over 12

Step-by-step explanation:

7 0
3 years ago
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