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Aliun [14]
3 years ago
10

Question:

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

<h2>      x₁ = - 2 + √2 ,   x₂ = - 2 - √2</h2>

Step-by-step explanation:

3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2

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beks73 [17]

Answers:

  • Vertex
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If an angle is labeled with a single letter, that letter represents the <u>  vertex  </u> of the angle.

If more than one angle has the same vertex, you must use <u>  3   </u> points to name the angle. The <u>  </u><u>middle  </u> point named must be the vertex.

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

Explanation:

If we have a single triangle, and no other extra lines, then we can use single letters to name the three angles. Each vertex of the triangle corresponds to the vertex of that angle.

If you were to draw many triangles, in which some may or may not overlap, you'll mostly likely need to name the angle using 3 letters. This is so you are very specific about which angle you're talking about. The middle letter is always the vertex. The left and right letters are points on the arms of the angle. The order of the left and right letters doesn't matter as long as the middle letter stays the same. So something like angle ABC is the same as angle CBA.

7 0
3 years ago
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1. Simplifying Equation Below<br> please help!!
vichka [17]

Answer: 0

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In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

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Step-by-step explanation:

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At a cost restaurant the cost for a hot dog and a soft drink is $2.10. The cost for two hot dogs and three soft drinks is $5.15.
Alja [10]

Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

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Hence The cost of soft drink is $0.95

7 0
3 years ago
What is the area of the shaded region plzz help
Aneli [31]

Answer:

78.10 cm^2

Step-by-step explanation:

The area of the shaded region is the area of the rectangle subtracted from the area of the circle.

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Answer: 78.10 cm^2

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