[tex]x^2-6x+y^2-8x=0[/tex]

The graph of the given equation in the xy-plane is a circle. What is the radius of the circle? (You may NOT use a calculator!)

A) 2
B) 3
C) 4
D) 5

An explanation along with the answer would be extremely helpful!!! Thank you!

Answers

Answer 1

Answer:

D

Explanation:

Start with the general equation of a circle

(x-h)² + (y-k)² = r²

where (h, k) are the coordinates of the center, and r is the radius

x²-6x+y²-8y = 0 , form prefect squares while keeping the equation balanced

x²-6x + +y²-8y + = +

(x-3)² +(y-4)² = 9 + 16

(x-3)² +(y-4)² = 25

(x-3)² +(y-4)² = 5² , compare with (x-h)² + (y-k)² = r²

Radius = 5


Related Questions

Other Questions
How do I write this in slope intercept form: (-3,-4) and (4,-3) PLEASE HELP I NEED IT TONIGHT!!!?!?!!!?? Evaluate the limit of sequence at infinity.[tex] \displaystyle \large{ \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} }[/tex]Please show your work too. Thanks! how did spain dominate the sixteenth century in america? How much more impressive than the english record, even by the mid-eighteenth century, was that of spain? Find the odd one and write the features of others 1. Ribosome, Lysosome, Mitochondrion, Golgi complex 2. Nose, Trachea, Lungs, Heart 3. Find the correct pair from the following a. Robert Hooke - Discovered the centre of the cell b. M.J Schleiden-Found animal body is made up of cells c. Rudolf Virchow -New cells arise only from existing cells 4. Large vacuole is present in.....cell How would you identify communication equipment? People who are lactose intolerant cannot extract energy from milk because ________. they are missing an enzyme lactose is too big to be digested by the enzymes they are missing the bacteria that can digest lactose milk is fermented to a by-product, which cannot be digested Whats the correct answer for this question? Which best describes the Crusades during the Dark Ages of Europe.Catholics killing people who don't believe in the Holy BibleO Catholics going to war against Muslims for JerusalemO Muslims enslaving Europeans and converting them to CatholicismO Muslims being attacked by Europeans because of their clothing.Please hurryy quickkkkk how do you found the difference from -5 - (-3) = ? What is this? I dont know the answers plz help Given 2x+6=12 prove x=3 Which group of integers is in order from least to greatest?A -12, -18-, -20, -24 B -20, -12, -24, -18C -24, -18, -12, -20D -24, -20, -18, -12 Zach runs a pear empire. He saw a large increase in his profit margins over the lastfiscal quarter. However, the government has ruled his secret fertilizer is now illegaldue to its harmful effects to the environment. Zach is now worried his profits willdecline. Zach is part of:Mixed economyCommand economyTraditional economyFree market economy This is the first question the others will probably be posted late If mm.................................................................................................................................................................. What does VAT stand for? men and women are two wheel of a same cart justify the statement need help with correcting :)the question states: Answer the following in complete sentences in Spanish. Use a long form of the possessive adjective in your response.i guess i was not using the long form of the possessive adjective in my responses, please reword my answer to contain the lon form of the possessive adjective :) thanks!this is an example: Example: Tienes tus zapatos? S, tengo los zapatos mos. here are the questions with my answers:Haces tu tarea? S, hago mi tarea.Llamas tu madre? No llamo a mi madre. what is the nature of unemployment in india Plssss help!!! look at the photo :)