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Chapter 13: Q. 17 (page 526)

Find the center and radius of each circle.

x+32+y2=49

Short Answer

Expert verified

The center is (-3, 0) and the radius is 7.

Step by step solution

01

Step-1 – Given

The given equation is x+32+y2=49.

02

Step-2 – To determine

We have to find the center and the radius of the given circle.

03

Step-3 – Calculation 

We compare the given equationx+32+y2=49 with the standard form of a circle:x鈭�a2+y鈭�b2=r2.

Here (a, b) is the center and r being the radius.

Comparing the two equations we get: a = - 3, b = 0andr = 7.

So, the center is (-3, 0) and the radius is 7.

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Most popular questions from this chapter

Find the slope of the line.

This exercise provides a geometric method of justifying the fact that you can use any two points on a line to determine the slope of the line. Horizontal and vertical segments have been drawn as shown. Supply the reason for each step.

Key steps of proof:

1.鈥�鈭�B鈮�鈭�A2.鈥�鈭�1鈮�鈭�23.鈥�螖LBN~螖DAJ4.鈥�BNAJ=LBDA,鈥�or鈥�BNLB=AJDA

5. The slope of LN equalsBNLB and the slope of DJ equalsAJDA

6. Slope of LN equals to slope of DJ.

Use the distance formula to find the distance between the two points.

  1. (-6, -2) and (-7, -5)

12, Find an equation of the circle that has the given center and radius

a. Center (2, 5); radius 3.

b. Center (-2, 0); radius 5.

c. Center (-2, 3); radius 10.

d. Center (j, 4); radius n.

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(6, -6); (-6, -6)
See all solutions

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