# Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

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 Question 155891: with the equation: how do I make an equation for a circle I need to solve for center of circle and radius of circe. Thanks! Click here to see answer by Alan3354(34677)

 Question 156062: Which of the following is not a conic section? a. Circle b. Hyperbola c. | x | d. All of the above are valid conic sections Click here to see answer by nabla(475)

 Question 156163: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Complete the square and write the equation in standard form. Then give the center and radius of the circle. x^2 + y^2 - 2x - 4y -4 = 0. Click here to see answer by jim_thompson5910(29613)

 Question 156064: As you slice through your imaginary sugar cone structure, you slowly rotate from being perpendicular to the cones’ axes to being parallel to them. Which of the following is the correct sequence of curves you will find? a. Circle, Parabola, Hyperbola, Ellipse b. Hyperbola, Ellipse, Parabola, Circle c. Circle, Parabola, Ellipse, Hyperbola d. Ellipse, Parabola, Circle, Hyperbola Click here to see answer by Alan3354(34677)

 Question 156547: could somebody help, me please? 1)find the center and length of a radius of each circle a) x^2+y^2+8x-12x+43=0 I tried. and got stuck (x^2+8x)+(y^2-12y)=-43 (x^2+8x=43)^2 + (y^2-12y+12)^2=-43+43+12 then.... Click here to see answer by oscargut(1838)

 Question 157659: The vertex of this parabola is at (3, -2). When the x-value is 4, the y-value is 3. What is the coefficient of the squared expression in the parabola's equation? Couldn't get a picture up, but the parabola open upward and its vertices is not at the origin. I hope this is enough info. Click here to see answer by edjones(7794)

 Question 156063: Which of the following does not possess two unique foci? a. Circle b. Hyperbola c. Ellipse d. None of the above Click here to see answer by Alan3354(34677)

 Question 159884: hello. i'm on chapter 5 section 4 problem 20. thanks for helping me can you work that problem out for me? what confuses me is i had a negative twelve for the square root, and i know that square roots aren't suppose to be negative so then i multiplied each side by negative one, but then that left the x squared negative, and i don't know how to write that in paranthesis to be correct. I'm afraid i went wrong from there so can u please explain that and the whole problem to me? thanks Click here to see answer by Alan3354(34677)

 Question 159885: hello. i'm on chapter 5 section 4 problem 20. thanks for helping me can you work that problem out for me? what confuses me is i had a negative twelve for the square root, and i know that square roots aren't suppose to be negative so then i multiplied each side by negative one, but then that left the x squared negative, and i don't know how to write that in paranthesis to be correct. I'm afraid i went wrong from there so can u please explain that and the whole problem to me? 0=x2-6x+3 (the first x is supposed to be squared) Click here to see answer by jim_thompson5910(29613)

 Question 159880: hi thanks for helping me....i'm on question 22 in chapter 5 and section 4. Basically i'm confused on what to do after you add the value from the square to both sides. Can you please explain that? Click here to see answer by jim_thompson5910(29613)

 Question 161959: What is the standard equation of the circle with radius 4, and center (0,0)? A (x+4)^2 + y^2 = 16 B (x+4)^2 + (y+4)^2 = 16 C (x+4)^2 + (y+4)^2 = 0 D x^2 + y^2 = 0 E ^2 + y^2 = 4 F x^2 + y^2 = 16 I have no idea where to start on this. Id apperciate seeing the steps and the correct answer. Thank you so much for all your help! Click here to see answer by jim_thompson5910(29613)

 Question 161958: y = 17 A line B circle C point D parabola E hyperbola F ellipse I think the answer would be c. I just wanted to know if that is correct? I thank you for your help! Click here to see answer by jim_thompson5910(29613)

 Question 161957: Classify the conic section x^2 + y^2 = 121 A hyperbola B ellipse C point D circle E parabola F line I believe the answer is B. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time. Click here to see answer by jim_thompson5910(29613)

 Question 161956: Classify the conic section 5x^2 + 9y^2 = 45 A line B point C circle D parabola E ellipse F hyperbola I believe the answer is E. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time. Click here to see answer by jim_thompson5910(29613)

 Question 161955: Classify the conic section: x^2 - y^2 = 36 A circle B hyperbola C parabola D point E line F ellipse I think the answer is b,but i just want to make sure thats right? Thank you for your help! Click here to see answer by jim_thompson5910(29613)

 Question 161954: Classify the conic section: 1. x^2 + y^2 = 36 A point B ellipse C circle D hyperbola E parabol F line I think the answer is b,but i just want to make sure thats right? Thank you for your help! Click here to see answer by jim_thompson5910(29613)

 Question 162018: 7. What is the standard equation of the circle with radius 5, and center (-5,-1)? A (x-5)^2 + (y-1)^2 = 25 B (x+5)^2 + (y+1)^2 = 25 C (x+5)^2 + (y+5)^2 = 5 D A circle cannot have a center at (-5,-1). E (x-5)^2 - (y-1)^2 = 25 F (x+5)^2 - (y+1)^2 = 25 I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you! Click here to see answer by jim_thompson5910(29613)
 Question 162018: 7. What is the standard equation of the circle with radius 5, and center (-5,-1)? A (x-5)^2 + (y-1)^2 = 25 B (x+5)^2 + (y+1)^2 = 25 C (x+5)^2 + (y+5)^2 = 5 D A circle cannot have a center at (-5,-1). E (x-5)^2 - (y-1)^2 = 25 F (x+5)^2 - (y+1)^2 = 25 I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you! Click here to see answer by scott8148(6628)

 Question 162020: 11. What is the center of the ellipse whose equation is (x^2)/25 + (y^2)/4 = 1? A (25,1) B (5,1) C (4,25) D (4,1) E (0,0) F (5,2) (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 I tried to used this equation to help, but im really stuck. I appericaite any help you can offer. Thank you! Click here to see answer by scott8148(6628)
 Question 162020: 11. What is the center of the ellipse whose equation is (x^2)/25 + (y^2)/4 = 1? A (25,1) B (5,1) C (4,25) D (4,1) E (0,0) F (5,2) (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 I tried to used this equation to help, but im really stuck. I appericaite any help you can offer. Thank you! Click here to see answer by jim_thompson5910(29613)

 Question 162030: 18. Classify the conic section of the equation x^2 + 2x + y^2 + 6y = 15. A circle B ellipse C hyperbola D parabola E point F line I'm not sure how I go about classifying this. I appericiate any help you have to offer. Thank you! Click here to see answer by jim_thompson5910(29613)

 Question 162033: 20. Classify the conic section of the equation 9x^2 - 3 = 18x + 4y. A hyperbola B circle C ellipse D line E Graph is not a conic section. F parabola I'm not sure where to start, I really would apperciate your help with how to solve this to come to the correct answer. Thank you so much! Click here to see answer by jim_thompson5910(29613)

 Question 162321: Calculate the area of the triangle with the following vertices: (0,-9), (3,-9), and (0,-2) I believe the answer is 10.5 sq ft. I just want to know if that is correct, if so i know i have done it correctly.If not, I'd like to see the correct steps so i know what i did wrong. Thank you so much! Click here to see answer by checkley77(12569)

 Question 162323: What is the eccentricity of the ellipse whose equation is [(x^2) / 25] +[(y-3)^2 / 9] = 1? I do know to use e=c/a to help find the correct answer, but I have no clue where to start. I appericiate all you help! Click here to see answer by Fombitz(13828)

 Question 162322: Classify the conic section of each equation. 10. 25x^2 - 9y^2 = 144 I think this may be a circle? But im not for sure and I would love to see the correct steps to finding the answer, i know to rewrite x as x-0 and y as y-0, and i know that 144 is also 12^2,but im not sure where to begin. Thank you! Click here to see answer by Alan3354(34677)
 Question 162322: Classify the conic section of each equation. 10. 25x^2 - 9y^2 = 144 I think this may be a circle? But im not for sure and I would love to see the correct steps to finding the answer, i know to rewrite x as x-0 and y as y-0, and i know that 144 is also 12^2,but im not sure where to begin. Thank you! Click here to see answer by Fombitz(13828)

 Question 162358: Classify the conic section of each equation 12. x^2 + 3y^2 = 3 I think this may be a parabola or an ellipse,but im not for sure, and i would love to see the way inwhich you can figure this out. Thank you so much! Click here to see answer by scott8148(6628)

 Question 162360: Classify the conic section of each equation. 13. 4x^2 + 3x = y^2 + 2y + 7 I know i need to make it look like... 4x^2 + 3x-y^2 - 2y - 7=0 but im not sure where to go next? Thank you for any help you may have! Click here to see answer by scott8148(6628)

 Question 162448: Identify the following conic. Is it a circle, parabola, hyperbola, or ellipse. Show why. x^2 - 4y^2 - 4x - 24y =48 I don't think it's a circle. I've tried completing the square but I don't get an answer that looks right. Please help!!! Click here to see answer by KnightOwlTutor(293)

 Question 162556: 15. What are the center and radius of the circle whose equation is x^2 + (y-3)^2 = 144? (x-h)^2 + (y-k)^2 = r^2. (x-0)^2+(y-3)^2=12^2 (0,-3) r=12 I know this is incorrect, but I cant find where my mistake is at. If someone could point it out, I would realy apperciate it. Thank you so much. Click here to see answer by checkley77(12569)

 Question 162555: 14. What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3? (x-h)^2 + (y-k)^2 = r^2. (x-5)^2+(y-4)^2=3^2 I know this problem has sign errors, but i cant see what it is that Im doing wrong. If someone could tell me where my mistake is at, I would really apperciate it :). Thank you. Click here to see answer by checkley77(12569)

 Question 162750: What is the center of the hyperbola whose equation is [(x+3)^2 / 9] - [(y-3)^2 / 16] = 1? I know the fomula would be (x-h)^2 / a^2 - (y-k)^2 / b^2 = 1. Would the answer be(-3,3)? I would love to know the correct answer. Thank you so much for your help! Click here to see answer by nerdybill(7090)

 Question 163079: I'm having some trouble with this : What is the equation of a parabola with vertex (0,0) and focus (0,4) I think it needs to be ax^2 + bx + c = 0 But I'm lost!!! Can anybody get me started??? Click here to see answer by Fombitz(13828)

 Question 164752: Since parabolas are symmetrical, how could you find the axis of symmetry using the x-intercepts? Click here to see answer by scott8148(6628)