Ask question

Ask question

All categories

3 years ago

15

Which conic section does the equation below describe?

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

You might be interested in

Tell a story about a time when you were very competitive.

xxMikexx [17]

Well once on the game there was a kid on the game talking smack and saying that he’ll beat us and basically once the game started I knew I had too put on my sweaty class and beat him

8 0

3 years ago

209,767 rounded to the nearest hundred thousand

GaryK [48]

209,767 rounded to the nearest hundred thousand (Or nearest 100,000) is 200,000.

6 0

3 years ago

Read 2 more answers

The graph of an inverse trigonometric function passes through the point (1, pi/2). Which of the following could be the equation

rodikova [14]

Answer: C) $y=sin^-1 x$

Step-by-step explanation:

Since, the graph of an inverse trigonometric function will pass through the point $(1,\frac{\pi}{2})$ ,

If this point satisfies the function,

For the function $y=cos^{-1} x$

If x = 1

$y=cos^{-1}1=0$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

⇒ The graph of $y=cos^{-1} x$ is not passing through the point $(1,\frac{\pi}{2})$

For the function $y=cot^{-1}x$

If x = 1

$y=cot^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cot^{-1}x$ ,

⇒ The graph of $y=cot^{-1}x$ is not passing through the point $(1,\frac{\pi}{2})$

For the function $y=sin^{-1} x$

If x = 1

$y=sin^{-1}1=\frac{\pi}{2}$

Thus, $(1,\frac{\pi}{2})$ is satisfying function $y=sin^{-1} x$ ,

⇒ The graph of $y=sin^{-1} x$ is passing through the point $(1,\frac{\pi}{2})$ .

For the function $y=tan^{-1}x$

If x = 1

$y=tan^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

⇒ The graph of $y=tan^{-1} x$ is not passing through the point $(1,\frac{\pi}{2})$ .

Hence, Option C is correct.

3 0

3 years ago

Round off 4699986 to the nearest whole number<br>

alina1380 [7]

Answer:4699990

Step-by-step explanation:

I think I just guessed

7 0

3 years ago

a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont

marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference( $d$ ) from the arithmetic sequence first:

$19-15=4.$

Thus, $d=4.$

So, the first tem $a(1)$ = 15.

The number of last row ( $n$ ) = 30.

Now, to get the number of seat in the 30th row we put formula:

$a(n) = a(1) + d(n-1)$

$a(30)=15+4(30-1)$

$a(30)=15+4\times 29$

$a(30)=15+116$

$a(30)=131$

Therefore, 131 seats are in the 30th row.

4 0

4 years ago