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kenny6666 [7]
3 years ago
5

Which of the following equations belongs to an ellipse with vertical orientation?

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0

Answer:

d. 16x² + y² = 16

Step-by-step explanation:

Standard form of an ellipse is:

x² / a² + y² / b² = 1

If b > a, the ellipse has a vertical orientation.

We can ignore options b and c, since they have minus signs in them.

Convert the other options to standard form:

a. x² / (1/16) + y² / (1/25) = 1

x² / (1/4)² + y² / (1/5)² = 1

1/4 > 1/5

d. x² + y² / 16 = 1

x² / 1² + y² / 4² = 1

1 < 4

e. x² / 16 + y² = 1

x² / 4² + y² / 1² = 1

4 > 1

Of these three options, only d is a vertical ellipse.

mr Goodwill [35]3 years ago
3 0
The answer to this question is D
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The answers to the questions are:

1. x = 4

2.  x = 1.5

3. x = 1.875

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<h3>2 step equation:</h3>

1. 4x + 3 = 19

4x = 19 - 3

4x = 16

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<h3>2 step equation w/ fractions:</h3>

(4/3)x + 5 = 17

= 1.33x + 5 = 7

Take like terms

1.33x = 7-5

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<h3>3. Distributive Property:</h3>

4x(6 - 2) - 10 = 20

Multiply and open the bracket

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Take like terms

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<h3>4. Decimals:</h3>

4.3x + 0.7 = 5

4.3x = 5 - 0.7

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7 0
1 year ago
Which facts could be applied to simplify this expression? Select three options.
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Answer:

A, B, and D

Step-by-step explanation:

To subtract like terms, you're supposed to subtract the coefficients, so <u><em>Option 1 is correct</em></u>. The statement like terms are terms that contain the same variable, raised to the same power, is true, so <u><em>Option 2 is correct</em></u>. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and <u><em>Option 4 is correct</em></u>. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).

Hope this helps! I got it right on Edgen.

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