Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Stuck on your homework problem? This step-by-step video should help.

Try Numerade Free for 30 Days

Like

Report

In $20-27$ : a. Write each equation in center-radius form. b. Find the coordinates of the center. . Find the radius of the circle.$$x^{2}+y^{2}-2 x-2 y-7=0$$

(a) $(x-1)^{2}+(y-1)^{2}=9$(b) $(1,1)$(c) $3$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 9

Circles

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Oregon State University

McMaster University

Harvey Mudd College

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

03:55

In $20-27$ : a. Write each…

01:56

02:00

01:12

02:57

02:44

02:03

00:49

Find the center and radius…

02:19

Find the center and the ra…

02:17

Find the center-radius for…

all right. In this question, we are given the equation X very plus y squared minus two X minus two Y minus seven equals zero. Um, and we need to put this into center radius forms off this. The equation were given. The first thing you should do is group things by, um, like, very well. So I'm in a group X squared minus two x together the positive X squared in a negative two x Similarly, do the positive y squared and negative two y in their own group. And I'm also gonna add the seven to the right hand side. So now we're equal to seven instead of equal to zero. Um, you should be familiar with completing the square. Um, so in the first group, we can complete the square by adding one to it. You find that one by taking half of the negative to which is negative one and squaring it. That's where you get the positive one. It's so that we can write this as a perfect square, which you'll see in a moment. We'll do this for the Wiese's. Well, we're going to add one to the group, and again, we're come up with this number one because we take the, um, negative too. Take half of it. That's negative. One and square it. That's positive One. And we're so equal to seven. But this is an equation Will stay balanced on each side. If I added one to the left hand side of the equation twice. I have to stay balance and do this to the right as well. Now rewrite this equation. Our, um x group X minus one squared, ready as a perfect square by Nomura. These are equivalent to each other A few. Multiply it. X minus one by itself. You get expert minus two X plus one. Okay, Likewise. Why? Squared minus two y plus one is the same thing is why minus one squared and seven plus one plus one is nine. That is our answer to a. This now is in centre radius form. And from here we can see that the center was a six. Part of the question is at 11 and parts he asked for the re. Yes, And if this equation is equal to nine and the general in this form of the equation of a circle is equal to r squared, that radius must be three because three squared is nine

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

In $20-27$ : a. Write each equation in center-radius form. b. Find the coord…

Find the center and radius of each circle.A. $(x-4)^{2}+(y+7)^{2}=28$

Find the center and the radius of each circle.$$(x+7)^{2}+(y-8)^{2}=\fra…

Find the center-radius form of the circle with the given equation. Determine…

00:15

In $18-25,$ write the complex conjugate of each number.$$\pi+2 i…

01:06

In $18-25,$ write the complex conjugate of each number.$$3+4 i$$…

01:42

In $3-10,$ find each of the function values when $\mathrm{f}(x)=4 x$$$

02:10

In $19-34,$ write each sum or difference in terms of $i$$$\sqrt{50}+…

00:59

In $3-17,$ find each sum or difference of the complex numbers in $a+b i$ for…

In $3-41$ , express each product in simplest form. Variables in the radicand…

00:37

02:32

In $9-26,$ solve each quadratic equation by completing the square. Express t…

00:25

02:34

In $11-19,$ write the equation of each circle.Graph cannot copy

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.