Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle
Answer: 7 necklaces
Step-by-step explanation: So we're looking at 3blue+2red is less than or equal to the 22 blue beads and 15 red beads. The closest you could get is using 21 blue beads and 14 red beads which is 7 necklaces.
Answer:
y² + 8y + 16
Step-by-step explanation:
Given
(y + 4)²
= (y + 4)(y + 4)
Each term in the second parenthesis is multiplied by each term in the first parenthesis, that is
y(y + 4) + 4(y + 4) ← distribute both parenthesis
= y² + 4y + 4y + 16 ← collect like terms
= y² + 8y + 16
Answer: A. $16.13
Step-by-step explanation:
Total students = 82+74+96+99 =351
Sum of earnings of 82 seniors = $26.75 x 82= $2193.5
Sum of earnings of 74 juniors = $12.25 x 74 = $906.5
Sum of earnings of 96 sophomores = $15.50 x 96 = $1488
Sum of earnings of 99 freshmen = $10.85 x 99 = $1074.15
Total earnings = $2193.5 + $906.5+ $1488 +$1074.15
= $5662.15
(Total earnings) ÷ (Total students )
= $5662.15÷ 351
= $16.13