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Maurinko [17]
3 years ago
14

What is the surface area of the pyramid?

Mathematics
1 answer:
VikaD [51]3 years ago
8 0
First find the lateral area (the triangles) and then add the base area
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Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

  • a= 3
  • b=12
  • c=9

Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

3 0
2 years ago
Helpppppppppppppppppppppppppppppppppppppppppppp
Elan Coil [88]

Answer:

The slope is m=2

Step-by-step explanation:

7 - 3 = 4 in y

2 - 0 in x

4/2

Simplify

2/1 or 2

4 0
4 years ago
Explain why their are no solutions to the system of inequalities <br> y ≤2x-5 <br> y ≥2x+1
rosijanka [135]

Answer:

Sorry this is late and I think this is right.

They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.

For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:

<em>y < - 1/2x -3</em>

<em>y > 1/2x + 2</em>

<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.

I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.

7 0
3 years ago
Prove that can you please prove and explain it plz ​
Alexandra [31]

Answer:

Step-by-step explanation:

LHS = Sin² ∅ + Sin² ∅*tan² ∅

        = Sin² ∅ [1 + tan² ∅ ]                 {Sec² ∅ - tan² ∅  = 1}

         = Sin² ∅ *Sec² ∅

         = Sin² ∅ * \frac{1}{Cos^{2} }

         = Sin² ∅ /Cos² ∅

        =  tan² ∅  = RHS

8 0
3 years ago
Read 2 more answers
You own a rectangular home lot that is 46,200 square feet in size. You get a quote of $10 per foot. If your lot is 220ft long an
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

width=46200÷220=210 ft

what you mean by quote? i don't know.

3 0
3 years ago
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