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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y = 2

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 = = = × = 2

Q = 4, 2 )

f

step-by-step explanation:

f