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Ugo [173]
3 years ago
15

Complete the square 2x^2+3x-2

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

Correct answer: (2 x - 1) (x + 2)

Step-by-step explanation:

Given:

2 x² + 3 x - 2 = (    ) · (    )

2 x² + 3 x - 2 = 2 · ( x² + (3/2) x - 1) = 2 ( x² + 2 · x · (3/4) + (3/4)² - (3/4)² - 1)

2 x² + 3 x - 2 = 2 · ( (x + (3/4))² - (9/16) - 1) = 2 · ((x + (3/4))² - (9/16) - (16/16))

2 x² + 3 x - 2 = 2 · ((x + (3/4))² - (25/16)) = 2 · ((x + (3/4))² - (5/4)²)

2 x² + 3 x - 2 = 2 · (x + (3/4) - (5/4)) · (x + (3/4) + (5/4)) =

2 · (x - (2/4)) (x + (8/4))

2 x² + 3 x - 2 = 2 · (x - (1/2)) (x + 2) = (2 x - 1) · (x + 2)

2 x² + 3 x - 2 = (2 x - 1) · (x + 2)

God is with you!!!

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djyliett [7]

Answer:x=4

Step-by-step explanation:

This triangle is an equilateral triangle with all angles equal.

Sum of angles in a triangle=180

17x-8+17x-8+17x-8=180

Collect like terms

17x+17x+17x-8-8-8=180

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51x=180+24

51x=204

Divide both sides by 51

51x/51=204/51

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3 0
3 years ago
Which relationships describe the angle pair x° and 50°
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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DENIUS [597]

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

8 0
3 years ago
Arc CD is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{2}{3}" alt="\frac{2}{3}" align=
Katarina [22]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
Phantasy [73]

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

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Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

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Option (B) will be the answer.

3 0
3 years ago
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