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guapka [62]
3 years ago
14

Given the quadratic function : f(x)=x^24x-12 Find the vertex. Can you show the steps?!?

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad   c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)}  \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)
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Find the area of the square when z=3/2 answer
BartSMP [9]

Answer:

<h2>A = 9/4</h2>

Step-by-step explanation:

The formula of an area of a square with side z:

A = z²

We have z = 3/2. Substitute:

A = (3/2)² = (3/2)(3/2) = 9/4

4 0
3 years ago
Which equation can be used to find the surface area of the cylinder?
vodka [1.7K]

Answer:

  S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

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The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

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For the given radius and height, the lateral area in square centimeters is ...

  A = 2π(3)(14) . . . . . . matches a term in the last choice

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The total surface area is the sum of the areas of the bases and the lateral area, so is ...

  S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

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<em>Comment on answer choices</em>

We could choose the correct answer based solely on the area of the bases of the cylinder.

6 0
3 years ago
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Find the square root of 9
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Step-by-step explanation:

5 0
3 years ago
Here are 4 triangles that have each been transformed by a different transformation.
Ugo [173]

This is about understanding rigid transformations.

<u><em>Option 4 is not a rigid transformation.</em></u>

  • In mathematics, transformation could be;

Rigid Transformation; This includes reflection, rotation, translation.

Non - Rigid Transformation; This includes dilation and shear.

  • Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.

Whereas, it is termed non - rigid transformation if the shape or size changes.

Let us look at the triangles in the option;

  • Option 1; In this  option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 2; In this  option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.

Read more at; brainly.com/question/16979384

4 0
1 year ago
Andre went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house.The second trail he hiked to
Y_Kistochka [10]
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- Andre is 3.8 miles away from his house.

7 0
3 years ago
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