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Sergio039 [100]
3 years ago
13

Solve the eqaution using the quadratic formula 3x^2=2(2x+1)

Mathematics
2 answers:
steposvetlana [31]3 years ago
8 0

Answer:

the answer is x=1,−13

Step-by-step explanation:

.

iren2701 [21]3 years ago
6 0

Answer:

x = (2 ± √10) / 3

Step-by-step explanation:

3x²=2(2x+1)

3x² - 4x -2 = 0    .. 2 roots: (-b ± √b² - 4ac) / 2a

a = 3,  b = -4,  c = -2

x = ((-(-4)) ± √(-4)² - 4x3x(-2)) / (2x3)

  = (4 ± √16 + 24) / 6

  = (4 ± √40) / 6

  = (4 ± 2√10) /6

  = (2 ± √10) / 3

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Find the area of the figure. Use 3.14 as π.
Karolina [17]

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

7 0
2 years ago
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Compare the decimals 7,231.60 and 7,231.6. Which comparison is correct? A. 7,231.60 < 7,231.6 B. 7,231.60 = 7,231.6 C. 7,231.
Ilia_Sergeevich [38]
B. 7,231.60 = 7,231.6
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3 years ago
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How to find the number of sides of a polygon when given the interior angle sum
wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$S=(n-2) \times 180^{\circ}

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}

Cancel common factor 180°.

$\frac{S}{180^{\circ}}=n-2

Add 2 on both sides.

$\frac{S}{180^{\circ}}+2=n-2+2

$\frac{S}{180^{\circ}}+2=n

Switch the sides.

$n=\frac{sum}{180^{\circ}}+2

Therefore number of sides of a polygon is n=\frac{sum}{180^{\circ}}+2.

3 0
3 years ago
arron takes his dog for a walk afer school, he walks 5 blocks east and then 4 blocks north. if he was able to take a direct rout
nlexa [21]

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where a and b are 2 legs of the triangle, and c is the hypotenuse, aka the longest side of any triangle:

a^2+b^2=c^2

We know a and b and want c

4^2+5^2=c^2

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41=c^2

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2 years ago
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olga2289 [7]
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