目 #13 i Prove or disprove that the point (√51,7) lies on the circle centered at the origin and containing the point (6, 8). SOLUTION The circle centered at the origin and containing the point (6,8) has the following radius. r =√(x-h)² + (y-k)² where x = h= ₁y = and k= So, r = and a point lies on the circle if and only if the distance from that point to the origin is The distance from (√51, 7) to the origin is d = √(x −h)² + (y-k)² where x, h=₁₂y=, and k = So, d = So, the point (√51,7) lies on the circle centered at the origin and containing the point (6,8). Previous Next
目 #13 i Prove or disprove that the point (√51,7) lies on the circle centered at the origin and containing the point (6, 8). SOLUTION The circle centered at the origin and containing the point (6,8) has the following radius. r =√(x-h)² + (y-k)² where x = h= ₁y = and k= So, r = and a point lies on the circle if and only if the distance from that point to the origin is The distance from (√51, 7) to the origin is d = √(x −h)² + (y-k)² where x, h=₁₂y=, and k = So, d = So, the point (√51,7) lies on the circle centered at the origin and containing the point (6,8). Previous Next
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![BIG IDEAS MATH
C
#13 i
Prove or disprove that the point (√51,7) lies on the
circle centered at the origin and containing the point (6,8).
SOLUTION
The circle centered at the origin and containing the point (6,8) has the
following radius.
r=√(x −h)² + (y-k)² where x = ₁ h = ₂y=
and k =
So, r =
and a point lies on the circle if and only if the distance from
that point to the origin is
The distance from (√51, 7) to the origin is
W
d = √(x −h)² + (y-k)² where x = ₁ h = ₂ y=
and k =
So, d =
So, the point (√51, 7) lies on the circle centered at the origin and containing
the point (6,8).
Previous
Next](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e7bbe56-6e0f-4e60-be65-bd82ac2b3970%2F6798579e-de9a-4797-82cb-71b6ee7844c6%2Fimv8byl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:BIG IDEAS MATH
C
#13 i
Prove or disprove that the point (√51,7) lies on the
circle centered at the origin and containing the point (6,8).
SOLUTION
The circle centered at the origin and containing the point (6,8) has the
following radius.
r=√(x −h)² + (y-k)² where x = ₁ h = ₂y=
and k =
So, r =
and a point lies on the circle if and only if the distance from
that point to the origin is
The distance from (√51, 7) to the origin is
W
d = √(x −h)² + (y-k)² where x = ₁ h = ₂ y=
and k =
So, d =
So, the point (√51, 7) lies on the circle centered at the origin and containing
the point (6,8).
Previous
Next
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