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02.01.09
Point Q lies on the circle and has an x-coordinate of 4
Which value could be the y coordinate for point ?
y
7
O 25
5
O 43
4
3
2
02/13
100)
760)
6432
1234567
O 8/2
X
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020109 Point Q Lies On The Circle And Has An Xcoordinate Of 4 Which Value Could Be The Y Coordinate For Point Y 7 O 25 5 O 43 4 3 2 0213 100 760 6432 1234567 O class=

Sagot :

Answer:

y = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = 6 [ (0, 0 ) → (6, 0 ) ⇒ r = 6 ]

Since Q lies on the circle then it satisfies the equation

Q = (4, y )

Substitute (4, y ) and r = 6 into the equation

4² + y² = 6²

16 + y² = 36 ( subtract 16 from both sides )

y² = 20 ( take square root of both sides )

y = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

Q = 4, 2[tex]\sqrt{5}[/tex] )

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