b-E-C-C-a

I am severely lactose intolerant and I just found out my birth control contains lactose so I need to stop taking it. It is making me really sick. But 3 days ago my boyfriend and I had sex and the condom broke.. He also pulled out before but I'm still scared, how long do I need to wait to stop taking it?

1. Find the coordinates of the foci of the ellipse represented by x2 + 25y2 – 6x – 100y + 84 = 0.

a. (3, 2 +/-2sqrt6)

b. (–2, 2), (8, 2)

c. (3 +/-2sqrt6, 2)

d. (2 +/-2sqrt6, 3)

<<<Excercises 2 and 3 refer to the ellipse represented by 4x2 + 9y2 – 18y – 27 = 0 >>>

2. Find the coordinates of the foci.

a. (0, 1+/-sqrt5)

b.(sqrt5,1), -sqrt5,1)

c. (sqrt5,3), (-sqrt5, 3)

d. (1, 5), (1, –5)

3. Find the coordinates of the vertices.

a. (2, 1), (–2, 1), (0, 4), (0, –2)

b. (3, 1), (–3, 1), (0, 3), (0, –1)

c. (3, 1), (–3, 1), (0, 4), (0, –2)

d. (2, 1), (–2, 1), (0, 3), (0, –1)

4. Write the standard form of the equation of the circle that is tangent to the x-axis and has it's center at (3, –2).

a. (x – 3)2 + (y + 2)2 = 4

b. (x + 3)2 + (y – 2)2 = 4

c. (x – 3)2 + (y + 2)2 = 2

d. (x + 3)2 + (y – 2)2 = 2

5. Find the rectangular equation of the curve whose parametric equations are x = –cos t and y = sin t, 0° < t < 360°.

a. y2 – x2 = 1

b. x2 + y2 = –1

c. x2 + y2 = 1

d. x2 – y2 = 1

6. Write x2 + 4x + y2 + 2y = 4 in standard form.

a. (x – 2)2 + (y – 1)2 = 9

b. (x + 2)2 + (y + 1)2 = 9

c. (x + 2)2 + (y + 1)2 = 3

d. (x + 2)2 – (y – 1)2 = 4

7. Find the coordinates of the point(s) of intersection for the graphs of x2 + y2 = 20 and y = x – 2.

a. (+/-2, +/-4), (4, 2)

b. (+/-2, +/-4), (+/-4, +/-2)

c. (2, 4), (–4, –2)

d. (–2, –4), (4, 2)

8. Write the equation of the conic section x2 + y2 = 16 after a rotation of 45° about the origin.

a. (x')2 + (y')2 = 16

b. (x')2 – (y')2 = 16

c. (x')2 – 2x'y' + (y')2 = 16

d. (x')2 + 2x'y' + (y')2 = 16

9. Find parametric equations for the rectangular equation x2 + y2 = 16.

a. x = cos 4t, y = sin 4t, 0° < t< 360°

b. x = cos 16t, y = sin 16t, 0° < t< 360°

c. x = 4 cos t, y = 4 sin t, 0° < t< 360°

d. x = 16 cos t, y = 16 sin t, 0° < t< 360°

10. Find parametric equations for the rectangular equation x2 + y2 – 25 = 0.

a. x = cos 5t, y = sin 5t, 0 < t < 2 pi

b. x = cos t, y = 5 sin t, 0 < t < 2 pi

c. x = 5 cos t, y = sin t, 0 < t < 2 pi

d. x = 5 cos t, y = 5 sin t, 0 < t < 2 pi

I know it's a lot and I'm sorry, just anything you can help me with I would appreciate so much! Thanks in advance!

I need help with a few questions for precal. Easy 10 points to the first person to answer them all correctly. Thank you so much!

1. Identify the equation of the translated graph in general form x2 + y2 = 8 for T(7, 5).

a. x2 + y2 – 10x – 14y + 66 = 0

b. x2 + y2 – 7x – 5y – 66 = 0

c. x2 + y2 – 7x – 5y – 66 = 0

d. x2 + y2 – 14x – 10y + 66 = 0

2. Identify the conic from the equation 2xy – 9 = 0. What is the angle of rotation for the equation?

a. hyperbola; 90°

b. hyperbola; 45°

c. ellipse; 30°

d. ellipse; 60°

3. Identify the conic from the equation. What is the angle of rotation for the equation?

a. hyperbola; 34°

b. ellipse; 68°

c. hyperbola; –68°

d. ellipse; –34°

Please answer and explain if you can I don't understand.

Find the rectangular equation of the curve whose parametric equations are given. Then graph the equation.

x = t

y = t2 – 2t – 3

Answers:

A. y = x^2 – 2x – 3

B. y = 2x^2 – 3x + 3

C. y = x^2 + 2x + 3

D. y = –x^2 + 2x + 3

Thank you so much easy 10 points!!

I LOVE the Hunger Games series and now I need some new books to read. What are some of the best books I can get for free that are similar to the Hunger Games and will keep me entertained? I appreciate it so much! Thank you!

I have a program that I am going around to schools to talk about and I want to hand out bracelets to help remind people after I leave. I want like the cheap, braided friendship bracelets or something similar that I can put my own short message on and buy in bulk online. Anyone know where I can get them? Thanks so much!!

I can never get to sleep! im only 16 but If I go to bed at 11 I won't get to sleep until 2 or later. I can only sleep if I take Tylenol pm but I know it's not good to take that every night. even if I try to take a nap I can't fall asleep. what can I do to help me sleep?

Can anyone give me information or a review of this pageant? I have done about 5 pageants before and placed high but never won. I'm thinking about doing IJM in the jr. teen category. Pros and cons? Thank you SO much!

this guy i like and have liked forever has a girlfriend and is pretty much saying hes going to cheat on her with me. hes asking me to hang out with him and not tell anyone and want to cause i really love him but i feel bad for his girlfriend..

i know her shes really sweet but we aren't really friends.

help me?

I am doing NAM for the second time this summer and i need help with my personal introduction. Last year mine was short and simple and i noticed the girls who did well had longer introductions, so if you could help i would love your input! please answer for an easy 10 points then you can email me at reba112395@yahoo.com. Thanks!

I'm starting high school next year and I want to be popular. It's just the kind of person i am given my looks and personality that I'm not happy sitting home and knitting on Friday nights. But I am a christian and through all this I don't want to grow away from god and lose my faith. Any tips? Thanks so much!

I'm going to a new high school where i know some people from elementary school and just living in the same city. But i definitely don't have any friends there and some people think i'm a slut, but i'm really not. I'm pretty outgoing and have been called "hot" haha but I'm still really scared.

I'm going to a new high school where i know some people from elementary school and just living in the same city. But i definitely don't have any friends there and some people think i'm a slut, but i'm really not. I'm pretty outgoing and have been called "hot" haha but I'm still really scared.

I'm going to a new high school where i know some people from elementary school and just living in the same city. But i definitely don't have any friends there and some people think i'm a slut, but i'm really not. I'm pretty outgoing and have been called "hot" haha but I'm still really scared.

I'm going to a new high school where i know some people from elementary school and just living in the same city. But i definitely don't have any friends there and some people think i'm a slut, but i'm really not. I'm pretty outgoing and have been called "hot" haha but I'm still really scared.

I'm 14 and i love roller coasters. I'm going to orlando with my parents and since i couldn't bring a friend they are letting me plan it. so what are the places i would enjoy the most?

we have been planning to go to discovery cove on our trip to orlando but i went to sign up and all the dates of our trip are full! is there any way at all we can still go? please help! and thank you!

okay so the middle school i went to all goes to the same high school, but since i was special permission at this middle school i have to go to a different high school where i don't have any friends. a lot of people there know who i am cause a lot of rumors and stuff went around at their school about me? i just want to make friends and have fun in high school.

advice PLEASE? thanks soo much!

I need fun dance songs about going around in circles to do a hula hoop dance to (haha, get it?) anyways right round is a great one but i want to make a mix. thanks so much!

I'm dancing for my talent portion in a pageant and I want a really fun, upbeat dance song that the judges can get into and will have fun watching. Maybe a song that everyone knows that would be original. Thanks so much!!!