Chapter 11: Q. 314 (page 1159)

In the following exercises, solve the system of equations by using graphing.
$x^{2} + y^{2} = 25 y = - 5$

Short Answer

Expert verified

Intersection of both graph is (0,-5)

Step by step solution

Given information

System of equations are

$x^{2} + y^{2} = 25 y = - 5$

Graph the first equation

The given equation is in the form of

${(x - h)}^{2} + {(y - k)}^{2} = r^{2} (h, k) i s t h e c e n t e r' r' i s t h e r a d i u s x^{2} + y^{2} = 25 c e n t e r i s (0, 0) r a d i u s = \sqrt{r^{2}} = \sqrt{25} = 5$

Graph the point (0,0) and radius = 5 units

Graph the second equation

Equation is $y = - 5$

For any value of x , the value of y is -5

(0,-5)

(2,-5)

Graph both the points and make a line

Intersection

Intersection of both graph is

(0,-5)

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In the following exercises, solve the system of equations by using graphing.
$x^{2} + y^{2} = 25 y = - 5$

Short Answer

Step by step solution

Given information

Graph the first equation

Graph the second equation

Intersection

One App. One Place for Learning.

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In the following exercises, solve the system of equations by using graphing.x2+y2=25y=-5

Short Answer

Step by step solution

Given information

Graph the first equation

Graph the second equation

Intersection

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.
$x^{2} + y^{2} = 25 y = - 5$