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frozen [14]
2 years ago
9

Appreciate all the help :) Which matrix multiplication is defined?

Mathematics
1 answer:
zubka84 [21]2 years ago
8 0

Answer:

c. BC

Step-by-step explanation:

It is the possible one

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Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Sonja [21]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
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How do I solve problem 1?
alexira [117]
You do 90-45 bc the whole angel must equal 90

4 0
3 years ago
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Need some help with this please
amm1812

Answer: The answer is that he cleaned one room


Step-by-step explanation:

Because he charged in total 77 dollars and he charged 77 dollars per room, so 77*1=77=c

6 0
3 years ago
PLEASE HELP IMAGE ATACHED
rodikova [14]
What kind of problems or what are you trying to ask? 
8 0
3 years ago
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