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 $3-10$ , the coordinates of point $P$ on the circle with center at $C$ are given. Write an equation of each circle: a. in center-radius form b. in standard form.$$P(4,2), C(0,1)$$

a) $x^{2}+(y-1)^{2}=17$b) $x^{2}+y^{2}-2 y-16=0$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 9

Circles

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Oregon State University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

01:18

In $3-10$ , the coordinate…

01:43

01:51

01:25

03:16

02:31

02:56

01:41

A line segment through the…

01:22

01:54

Hello. So the gold? This problem is to find the equation of the circle in the centre radius form and the standard for him. So the centre radius form is dependent on the center H comma K in the radius comma radius. Are that a reference in that equation? So it must be better to start with that one. So I'm going to draw it out approximately where the points are so thes centers at zero comma one. So we go over zero me, go up. What? And then the point is at four comma too. So we go over four and we go up to so and work to This is about the re use. So the circle goes a bit like that. So in order to find that radius me to do a bit of Pythagorean theorem and the distance formula. So we go over for in this and we go up one in this. So, uh, the distance would be the square root of 16 plus one which is equal to you. Square 8 16 17. I'm sorry. And that's ah, equal to the radius of the circle. So these enter radius form of this circle would indeed be X uh, x squared because there's no H because it zero, uh, plus why minus when cool squared is equal to 17. And if we were Jake saying this standard for him, we would get X squared, plus y squared me. Just finish that squared minus two by plus one is equal to you. 17. And if we bring the 17 over to the other side, we could x squared plus y squared. Yeah, minus two. Why minus 16 is equal to zero. And that is the standard form of this equation. So now we have the two equations of the circle.

View More Answers From This Book

Find Another Textbook

Numerade Educator

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

In $3-10$ , the coordinates of point $P$ on the circle with center at $C$ ar…

A line segment through the center of each circle intersects the circle at th…

01:08

In $12-17,$ use a graph to find the solution set of each inequality.$$

In $35-43,$ write each number in simplest form.$$5 i^{2}+2 i^{4}…

01:44

In $3-18,$ write each number in terms of $i$$$-\sqrt{-51}$$

02:07

In $38-45,$ find the multiplicative inverse of each of the following in $a+b…

01:19

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

01:52

In $11-18 :$ a. Find $h(x)$ when $h(x)=g(f(x)) .$ b. What is the domain of $…

01:20

a. Sketch the graph of $y=x^{2}+6 x+2$b. From the graph, estimate the ro…

00:47

In $7-12,$ determine if each graph represents a one-to-one function.

01:48

Explain why $(x-h)^{2}+(y-k)^{2}=-4$ is not the equation of a circle.

05:57

In $3-38,$ solve each equation for the variable, check, and write the soluti…

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.