Math

I have a series of questions that I did. They lead up to the last question I can't solve. Could you check my math and help me with the last question? Thanks!


a) Let a be the point (2,3). Compute the distance from Origin 0 to A


answer: a^2 + b^2 = c^2
3^2 + 2^2 = c^2
c=sqrt(13)

b) find the equation of circle C passing through point A

x^2 + y^2 = 13 -> since the center is (0,0), right?

c) find the equation of line D tangent to the circle C at point A
since the equation for line OA is y=3/2 x + 0 , I can use the negative inverse of the slope to get the slope of the tangent, right?
so I used y=-2/3 x +b and input the coordinates (2,3) to get b


3 = (-2/3)(2) + b

b = 4 , therefore the equation of the tangent is y=-2/3 x + 4 right?

d) line D meet Ox at point B. Find the coordinates of B.
This is where I'm a little confused. Does "Ox" mean the x-axis? That's what I went on so I just used the previous line equation and set y to zero:

0= -2/3 x + b
x = 6 therefore line D meets Ox when x=6 coordinates (6,0)

e) compute distance of AB
A(2,3) B(6,0) I used Pythagoreans theorem and got a distance of 5

f) find the equation of the circle C' with center B and passing through A

since the circle equation is (x-h)^2 + (y-k)^2 = R^2 I just input everything I knew so far and got: (x-6)^2 + y^2 = 25

is all that correct? I know it's a lot but I appreciate the help!

The last question is:

g) find the coordinates of the intersection points of C and C'

  1. 👍 0
  2. 👎 0
  3. 👁 123
asked by Shane

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    I'm learning series and sequences (grade 11). Please check that my steps show I understand what I'm doing/the concept and my answer as well: 5. The consecutive terms of an arithmetic sequences are 3.6, y, 8.2. Find the value of y.

    asked by Crystal on January 8, 2013
  2. Instructions

    The teacher gave us a mini essay that has 16 questions under each chapter (Chapters 1-4, 4 questions per chapter). Her instructions are as follows: "Below you will find short-essay-type questions from each of the Unit 2 chapters.

    asked by Sarah on November 26, 2013
  3. Calculus

    This is going to be pretty hard to show as text since it would be easier for me to post a picture of the question. The question has f(x) = x/4^2 - (2x^3)/4^4 + (3x^5)/4^6 + ... . I am trying to find out the value of f(2). There is

    asked by Douglas on October 4, 2010
  4. Reading

    43. 'lead (led). n 1. Position at the front 2. initiative 3. One that leads. 4. Indication or clue. 5. A principal role in a dramatic production ‘lead (led) v. 1 to guide on a way by going in advance. 2. To direct on a course.

    asked by BARNETTA on August 16, 2015
  5. physics

    A sample of lead with a mass of 1.45kg is heated until it reaches its melting point at 330C. The lead is then heated further until it has entirely melted. During this process the lead absorbs a total of 4.46 104J as heat. What is

    asked by Anonymous on February 18, 2018
  6. Reading

    45. 'lead (led). n 1. Position at the front 2. initiative 3. One that leads. 4. Indication or clue. 5. A principal role in a dramatic production ‘lead (led) v. 1 to guide on a way by going in advance. 2. To direct on a course.

    asked by BARNETTA on August 15, 2015
  7. Math

    I have a couple questions about the sums of geometric series. One. So the formula for the sum is t(n)=t(1)[(r^n)-1] But if my series starts at t(0), can I change the formula to t(n)=t(0)[(r^n)-1] ? Two. If, in the series, there is

    asked by Anonymous on October 31, 2010
  8. calculus

    I need help understanding how the series of e derives into the exponential series using the binomial theorem. Here is a link to a pic of a page in my book, regarding the exponential series: ht tp://i46.tiny pic(.)(com)/qz0oat .

    asked by Jimmy on June 5, 2010
  9. Applied Mathematics (Perturbation)

    Solve these questions by using Algebraic Perturbation series method using this series U = U_o + e U_1+... 1. eU^3+U-2=0 2. eU^3+(U-2)=0 3. eU^4+U^3-2U^2_U+2=0 4. U^2-U-2+e/2(U^2+2U+3)=0 5. eU^4-U^2+3U-2=0 6. eU^4-U^3+3U-2=0 7.

    asked by Muhammad Idrees on July 20, 2014
  10. Calculus - Taylor #2

    Find the Taylor series for f(x) centered at the given value of 'a'. (Assume that 'f' has a power series expansion. Do not show that Rn(x)-->0.) f(x) = x3, a = -1 and what i've done so far: f (x) = x^3 f ' (x) = 3x^2 f '' (x) =

    asked by COFFEE on July 28, 2007
  11. poetry

    i need to write a question poem with 10 lines and that asks a lot of questions i have no ideas please help! Pick a theme, then the questions, then put them in verse. Example: Theme Love questions.. What is how it began where will

    asked by christina on May 14, 2007

More Similar Questions