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Zolol [24]
3 years ago
15

Which conic section does the equation below describe?

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

Answer: Option C. Ellipse

Step-by-step explanation:

The general equation of an ellipse has the following form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1

Where the point (h, k) is the center of the ellipse

In this case we have the equation

\frac{(x-9)^2}{4} + \frac{(y+2)^2}{25} =1

Note that its shape matches that of a ellipse with center (9, -2)

a=\sqrt{4} \\a=2\\\\\\b=\sqrt{25}\\b=5

Therefore the answer is the obtion C

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bazaltina [42]

Answer:

92 degrees

Step-by-step explanation:

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2 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
Andrews [41]
3t = 5(3-t)
3t = 15 - 5t
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3 years ago
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Answer:

The correct answer to the question is

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Step-by-step explanation:

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In the question, the option

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8 0
3 years ago
Solve for x. (Hint: The two add together to equal a straight line)
Readme [11.4K]

Answer:

x = 25

Step-by-step explanation:

According to the hint: The two angle measures would add up to 180°.

(5x+10)+(2x-5)=180\\\\5x+10+2x-5=180\\\\5x+2x+10-5=180\\\\7x+5=180\\\\7x+5-5=180-5\\\\7x=175\\\\\frac{7x=175}{7}\\\\\boxed{x=25}

Hope this helps.

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2 years ago
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zimovet [89]

Answer:

3x+2°=65° (vert opp angles)

3x=65°-2°

=63°

x=63÷3

=21

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2 years ago
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