1 answer

A parabola can be drawn given a focus of #(3,-10)# and a directrix of #y=-6#. What is the equation of

Question:

A parabola can be drawn given a focus of #(3,-10)# and a directrix of #y=-6#. What is the equation of the parabola?

Answers

#x^2-6x+8y+73=0#

Explanation:

#"for any point "(x,y)" on the parabola"#

#"the distance from "(x,y)" to the focus and"#
#"the directrix are equal"#

#"using the "color(blue)"distance formula"#

#rArrsqrt((x-3)^2+(y+10)^2)=|y+6|#

#color(blue)"squaring both sides"#

#rArr(x-3)^2+(y+10)^2=(y+6)^2#

#x^2-6x+9cancel(+y^2)+20y+100=cancel(y^2)+12y+36#

#rArrx^2-6x+8y+73=0" is the equation"#

.

Similar Solved Questions

1 answer
I just need help figuring out the incorrect answers (in red). The green answers are already...
I just need help figuring out the incorrect answers (in red). The green answers are already correct. Thank you Munoz Company is considering the addition of a new product to its cosmetics line. The company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. Relev...
1 answer
Please show as much work as possible but also write neatly :) Thank you so much...
Please show as much work as possible but also write neatly :) Thank you so much for your help! 3.3 x 10-1 M 15.0 mL of 0.50 M HCl is added to a 100.0 ml sample of 0.377 M HNO 2(Ko for HNO 2 - 4.0 x 104). What is the equilibrium concentration of NO 2-ions? 1.3 x 10-4 M 4.5 x 10-2M 2.0 x 10-3M none of...
1 answer
C. Prepare a trial balance dated September 30, 2011. Assume accounts with zero balances are not...
c. Prepare a trial balance dated September 30, 2011. Assume accounts with zero balances are not included in the trial balance. LOS EXERCISE 3.12 Journalizing, Posting, Los and Preparing a Trial Balance LOS LOS Herrold Consulting incorporated on February 1, 2011. The company engaged in the following ...
1 answer
To freeze the water in this pool? 8. A 10-lane Olympic-sized swimming pool contains 2.5 X...
to freeze the water in this pool? 8. A 10-lane Olympic-sized swimming pool contains 2.5 X 100 kg of water. If the water is at 0°C, how many kilojoules energy must be removed to freeze the water AH fus for H2O = 334 J/g (A) 7.5 X 103 kJ (B) 8.4 X 10% kJ (C) 7.5 X 106 kJ (D) 8.4 X 108 kJ...
1 answer
Enter a partial decay series for Rn-220 undergoing the following sequential decays: α, α, β, and...
Enter a partial decay series for Rn-220 undergoing the following sequential decays: α, α, β, and α. Part C: β decay (Express your answer as a nuclear equation)...
1 answer
Webassign.net/web/Student/Assignment-Responses/last?dep=25008305&token=EOFF8BCB9A882536830F0CE4C917FEF1D097E057258D6B96005AD765E A discount store purchased some special product at a list price of $6,700. If the...
webassign.net/web/Student/Assignment-Responses/last?dep=25008305&token=EOFF8BCB9A882536830F0CE4C917FEF1D097E057258D6B96005AD765E A discount store purchased some special product at a list price of $6,700. If the broker gives a 20.5% trade discount rate, what is the amount of the tr. O $1,373.50 O...
1 answer
If a enegry bar contains 153 cllories and the protein makes up 11% what is the number of calories from the portein bar
if a enegry bar contains 153 cllories and the protein makes up 11% what is the number of calories from the portein bar...
1 answer
A shipping company is in need of a conveyor belt. At any given time, it is expected that the conv...
A shipping company is in need of a conveyor belt. At any given time, it is expected that the conveyor is loaded with 10 boxes weighing 50 lbs each. The conveyor needs to be at 17 degrees angle with the horizontal. The motion source runs at 1800 RPM. Assuming 100% efficiency and the conveyor pulley d...
1 answer
Does cost-benefit analysis apply to public goods only? If yes, why? If not, name situations in...
Does cost-benefit analysis apply to public goods only? If yes, why? If not, name situations in which economists would use cost-benefit analysis. Do not copy paste...
1 answer
4) 282 5) 70.5 Question 9 (1 point) Total enrollment in the Kalamazoo Public Schools have...
4) 282 5) 70.5 Question 9 (1 point) Total enrollment in the Kalamazoo Public Schools have a mean and standard deviation of 11,485.2 and 19.2, respectively. The district expects growth in the next five years, so every observation in the dataset is multiplied by 1.2. What will the new mean be? 1) 11,4...
1 answer
Module: Safety and Mobility Nome Medication Review Worksheets MEDICATION: Side Effects Nursing interventions and Patient Education...
Module: Safety and Mobility Nome Medication Review Worksheets MEDICATION: Side Effects Nursing interventions and Patient Education How might this medication affect safety and/or mobility? Therapeutic Effect/Why do patients take this medication? Carbidopa/Levodopa (Sinemet) Classification: Safe Adult...
1 answer
Please don't copy answers from other posts i need a correct answer. Please solve it all....
Please don't copy answers from other posts i need a correct answer. Please solve it all. Charlie joins a new reading club, from which he receives books to read. Suppose that books arrive as a Poisson process at a rate λ of books per week. For each book, the time it takes for Charlie to r...
1 answer
The Righter Shoe Store Company prepares monthly financial statements for its bank. The November 30 and...
The Righter Shoe Store Company prepares monthly financial statements for its bank. The November 30 and December 31, 2021, trial balances contained the following account information: Supplies Prepaid insurance Salaries payable Deferred rent revenue Nov 30 Dr. Cr. 3,400 7,900 19,500 5,800 Dec. 31 Dr. ...
1 answer
Assembly please help.
Question: For each of the following words identify the bytethat is stored at lower memory address and the byte that is storedat higher memory address in a littleendian computer.a) 1234b) ABFCc) B100d) B800...
1 answer
A project requires an initial investment of $10,000, straight-line depreciable to zero over four years. The...
A project requires an initial investment of $10,000, straight-line depreciable to zero over four years. The discount rate is 10%. Your tax bracket is 34% and you receive a tax credit for negative earnings in the year in which the loss occurs. Additional information for variables with forecast error ...
1 answer
Assignment 12.1- Chapter 10 Navigate the Field Exercise 1 You are the chair of the Information...
Assignment 12.1- Chapter 10 Navigate the Field Exercise 1 You are the chair of the Information Governance Committee at Northstar Medical Center. You have been asked to educate physicians on the importance of health information governance. Prepare an outline that lists the components of health inform...
1 answer
PLEASE FULLY SOLVED AND STEP BY STEP SOLUTION TT The base of a solid is the...
PLEASE FULLY SOLVED AND STEP BY STEP SOLUTION TT The base of a solid is the region between the curve y = 4 cos x and the x-axis from x= 0 to x= to x = 2 The cross sections perpendicular to the x-axis are squares with bases running from the x-axis to the curve. Find the volume of the solid. 15 OA. T...
1 answer
Compare and contrast parsimony, maximum likelihood, UPGMA, and neighbor-joining methods as it relates to phylogenetics
Compare and contrast parsimony, maximum likelihood, UPGMA, and neighbor-joining methods as it relates to phylogenetics...