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AysviL [449]
3 years ago
11

Solve the quadratic equation using the quadratic formula: 3x^2 - 6x = 5

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

x_{1} = 1+\frac{2\sqrt{6}}{3} \\\\x_{2} = 1-\frac{2\sqrt{6}}{3}

Step-by-step explanation:

3x^2 - 6x - 5=0

quadratic formula:

x=\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

a=3     b=-6     c=-5

x=\frac{-(-6)+-\sqrt{(-6)^{2}-4*3*-5}}{2*3}

x=\frac{6+-\sqrt{36+60}}{6} \\\\x=\frac{6+-\sqrt{96}}{6} \\\\x=\frac{6+-\sqrt{2^{2}*2^{2}*2*3 }}{6} \\\\x=\frac{6+-4\sqrt{6}}{6} \\

so we have:

x_{1} = 1+\frac{2\sqrt{6}}{3} \\\\x_{2} = 1-\frac{2\sqrt{6}}{3}

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Answer:

7/10

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5 0
3 years ago
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9966 [12]

The scale factor that Ivory used to create their scaled copy is;

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What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.

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length; y-axis = 3x units

width; x-axis = x units

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Area = Length × width

Thus;

3x * x = 48

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>

Read more at; brainly.com/question/17182684

8 0
2 years ago
What is the diameter of the cirlce if the radius is 7
Liono4ka [1.6K]

Answer:

14

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3 years ago
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What is the expression and answer
swat32

Answer:

Step-by-step explanation:

<em>L</em> is 2* <em>W</em> so L=2W

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plug in whats given to get

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3 0
3 years ago
A square is inscribed in a circle with an area of 10 pi square inches. what is the area of the square
Naddik [55]
We need to determine the radius and diameter of the circle.  If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,

A = 10 pi in^2 = pi*r^2.  Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.

Thus, the diam. of the circle is 2sqrt(10) in.  This diam. has the same length as does the hypotenuse of one of the triangles making up the square.

Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square.  So, 4(10) in^2 = 2x^2.  Then:
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Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer).  Compare that to the 10 pi sq in area of the circle (31.42 in^2).
8 0
3 years ago
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