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skelet666 [1.2K]
2 years ago
15

Which of the equations below represents

Mathematics
1 answer:
Ray Of Light [21]2 years ago
7 0

The equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

<h3>What is the equation of the ellipse represented in the graph?</h3>

Herein we have a representation of an ellipse in the image attached aside, ellipses are characterized by the following <em>standard</em> formula:

(x - h)² / a² + (y - k)² / b² = 1     (1)

Where:

  • (h, k) - Coordinates of the center
  • a, b - Lengths of the semiaxes

Please notice that ellipse will be vertical if b > a, otherwise it will be horizontal. The graph exhibits a <em>vertical</em> ellipse centered at the origin and therefore we conclude that (h, k) = (0, 0) and b > a (b = 10, a = 2). Finally, the equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

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Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira’s expenses are half of Hi
aleksklad [387]

9514 1404 393

Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

4 0
3 years ago
Function f(z)=2z-(3+i)
Archy [21]
F(z) = 2z - (3+i)

1) second interate for z0 = i

first iterate = f(z0) = f(i) = 2i - 3 - i = i - 3 = z1
second iterate = f(z1) = f(i-3) = 2(i-3) - 3 - i = 2i - 6 - 3 - i = i - 9

2) third iterate for z0= 3 - i

first iterate = f(z0) = f(3 - i) = 2(3-i) - (3+i) = 6 -2i -3 - i =3 - 3i = z1
second iterate = f(z1) = f(3 -3i) = 2(3-3i) - (3+i) = 6 - 6i -3 -i = 3 - 7i = z2
third iterate = f(z2) = f(3 - 7i) = 2 (3-7i) - (3+i) = 6 - 14i - 3 - i = 3 -15i = z3.

3) first iterate for z0=0.5+i

first iterate = f(z0) = f(0.5 +i) = 2(0.5+i) - (3+i) = 1 +2i - 3 - i = - 2 + i = z1

4) third iterate for z0=-2-5i

first iterate = f(z0) = 2(- 2 - 5i) - (3 + i) = - 4 - 10i - 3 - i = -7 - 11i = z1
second iterate = f(z1) = 2( - 7 - 11i) - (3+i) = -14 - 22i - 3 - i = -17 -23i = z2
third iterate = f(z2) = 2(-17-23i) -(3+i) = -34 - 46i -3 - i = -37 - 47i = z3
8 0
3 years ago
Question in pic please help
bezimeni [28]

Answer:

1st choice

Step-by-step explanation:

4 0
3 years ago
Ratio equivalent to 3:4
mote1985 [20]

Ratios that are equivalent to 3:4 are

6:8

9:12

12:16

Basically just multiplying both sides by the same number.

5 0
3 years ago
Plz help me out I’m stuck on this
Sauron [17]

Answer:

g

Step-by-step explanation:

becus it in grater thon 300

4 0
3 years ago
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