Chapter 11: Q. 313 (page 1159)

In the following exercises, solve the system of equations by using graphing.
$x^{2} + y^{2} = 169 x = 12$

Short Answer

Expert verified

Intersection points are

(12,5) and (12,-5)

Step by step solution

Given information

system of equations are

$x^2 + y^2 = 169 x = 12$

Graph the first equation

The given equation is in the form of

${(x - h)}^{2} + {(y - k)}^{2} = r^{2} (h, k) i s t h e c e n t e r' r' i s t h e r a d i u s x^{2} + y^{2} = 169 c e n t e r i s (0, 0) r a d i u s = \sqrt{r^{2}} = \sqrt{169} = 13 r a d i u s = 13$

Graph the center (0,0) and radius =13cm . Graph a circle

Graph the next equation

Equation is $x = 12$

For any value of y , the value of x is 12

(12,0)

(12,1)

Graph both the points and make a line

Graph both equations

Graph of the equations

Intersection points are

(12,5) and (12,-5)

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In the following exercises, solve the system of equations by using graphing.
$x^{2} + y^{2} = 169 x = 12$

Short Answer

Step by step solution

Given information

Graph the first equation

Graph the next equation

Graph both equations

One App. One Place for Learning.

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In the following exercises, solve the system of equations by using graphing.x2+y2=169x=12

Short Answer

Step by step solution

Given information

Graph the first equation

Graph the next equation

Graph both equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.
$x^{2} + y^{2} = 169 x = 12$