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rewona [7]
2 years ago
13

QUESTION 10

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
4 0

Answer:

  • See below

Step-by-step explanation:

Let the first test score is x, then the next two are x - 10 and x - 20 and the total of three is 258.

<u>We can reflect this as:</u>

  • x + x - 10 + x - 20 = 258

<u>Solving we get:</u>

  • 3x - 30 = 258
  • 3x = 258 + 30
  • 3x = 288
  • x = 288/3
  • x = 96

<u>The scores are:</u> 96, 86 and 76

alexandr402 [8]2 years ago
3 0

Answer:

let the grade points be a,b,c

a+b+c=258

b=c+10( since she noticed that on tests two and three,she scored 10 points fewer).

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What is the square and square root of 9x⁸​
adelina 88 [10]

Answer:

square: (9x^8)^2= 81x^16

square root: (9x^8)^1/2 = 3x^4

Step-by-step explanation:

the ^ mean that the following num should be like this ​⁸​

8 0
3 years ago
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.

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Answer:

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Answer:

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