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4 years ago

Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1

Mathematics

2 answers:

Yakvenalex [24]4 years ago

8 0

Here is the picture of the answer above

gladu [14]4 years ago

6 0

X²/9 + y²/16 = 1

The general for mula of an ellipse is:

(x-h)²/a² + (y-k)²/b² = 1. Since h = k = 0, this ellipse
x²/9 + y²/16 = 1
passes by the center O. (Note that a = 3 and b = 4)

Moreover sin b>a so the majore axis is (on the y-axis) and a the minor axis (on the x-axis) [Its shape is as a vertical egg].

On a system of perpendicular axis that intercept in O., take on the x-axis 2 points A & B with respective coordinate A(3.0) and B(-3,0)
On the y-axis your report A'(0,+4) and B'(0,-4). So you have the vertex of the ellipse, then it's easy to draw it

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The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mashutka [201]

Answer:

$m-n=2$

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

$f(x)=a(x-h)^2+k$

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

$f(x)=a(x-2)^2-4$

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

$12=a((4)-2)^2-4$

Solve for a. Subtract within the parentheses:

$12=a(2)^2-4$

Add 4 to both sides:

$16=a(2)^2$

Square:

$16=4a$

Solve:

$a=4$

Thererfore, the value of a is 4.

So, our function is:

$f(x)=4(x-2)^2-4$

Now, let’s find our roots. Set the equation to 0 and solve for x:

$0=4(x-2)^2-4$

$4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1$

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0

3 years ago

Read 2 more answers

Ravi will take the 6:37 PM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is the

Ahat [919]

So 6+3 is 9 right? So let's just say it's 9:37 with a 45 min ride. 60 minutes are in a hour. 60 - 37 = 23. We have 23 minutes left until 10:00. 45- 23 = 22. Therefore it'd be 10:22 p.m.

7 0

4 years ago

Troy started at the fire station. He walked to the library and then rode his bike to the post office. If Troy only traveled alon

3241004551 [841]

Answer:

Step-by-step explanation:

Calling it blocks is a little weird. but a good way to do it is to move left or right until you are over or below where you want to go then move up or down accordingly. Each move, left, right up or down will count as one block.

So from the fire station you go 1 to the right and then 6 down, for a total of 7. then from the library it's 3 right then 4 up, which is 7 again. 7 to the first stop then 7 to the second makes 14 total.

If there's something you don't get let me know.

7 0

3 years ago

Help help help help help

nekit [7.7K]

Answer:

C, C is the answer

5 0

3 years ago

A baseball tournament begins with 128 teams. After each round of games , only half of the teams are left. How many teams will be

Zanzabum

Answer:

128/2=64/2=32

Step-by-step explanation:

you really need a help with that ? you don't know how to divide by 2 ? and then to divide the result another time by 2 ?

not to mention that you could achieve that with in division by 4 (as this is the save as dividing by 2 and then again by 2).

putting such questions in here is a farce and a waste of time for the helping people.

3 0

3 years ago

Read 2 more answers