What is the value of √23
1 answer:
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Answer:
(x - 10)² + (y + 9)² = 20
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre to a point on the circle
To calculate r use the distance formula
r = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)
r =
= =
, hence
(x - 10)² + (y - (- 9))² = ()², that is
(x - 10)² + (y + 9)² = 20
Answer:
AG = 4
AH = 21
EC = 12
CH = 5
HE = 7
Step-by-step explanation:
<u><em>The complete question is</em></u>
The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.
Which of the following statements are true? Select all that apply.
•AG = 4
•GC = 10
•AH = 21
•EC = 12
•EH = 5
•CH = 5
•HE = 7
The picture of the question in the attached figure
<u><em>Verify each statement</em></u>
1) AG = 4
we know that
----> radius of circle A
----> radius of circle C
substitute
therefore
The statement is true
2) GC = 10
we know that
----> radius of circle C
therefore
The statement is false
3) AH = 21
we know that
we have
----> radius of circle A
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
4) EC = 12
we know that
----> radius of circle C
therefore
The statement is true
5) EH = 5
we know that
----> radius of circle E
therefore
The statement is false
6) CH = 5
we know that
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
7) HE = 7
we know that
----> radius of circle E
therefore
The statement is true
