Please help me with this it’s due soon
2 answers:
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Answer:
- center: (-2, 5)
- radius: 6
Step-by-step explanation:
We can complete the squares of the x- and y-terms by adding the square of half the linear term coefficient.
(x^2 +4x) +(y^2 -10y) = 7
(x^2 +4x +4) +(y^2 -10x +25) = 7 + 4 + 25
(x +2)^2 +(y -5)^2 = 6^2
Compare to ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . standard form equation of a circle
We see that the center is ...
(h, k) = (-2, 5)
and the radius is ...
r = 6
Answer:
Exact Form: 2√26
Decimal Form: 10.19803902 …
Step-by-step explanation:
Answer : Sarah bought 4 first class tickets and 3 coach tickets.
Explanation :
We will call F the number of first class tickets and C the number of coach tickets.
Sarah had to buy a total of 7 tickets for 7 people.
Then F + C = 7 (Equation 1)
She used her total budget = $5,620
Then F*$1,150 + C*$340 = $5,620 (Equation 2)
F + C = 7
F = 7 - C
Now we can replace the value F in the equation 2
(7 - C)*$1,150 + C*$340 = $5,620
7*$1,150 - C*$1,150 + C*$340 = $5,620
$8,050 - C*$810 = $5,620
$8,050 - $5,620 = C*$810
$2,430 = C*$810
C = $2,430/$810 = 3 => number of coach tickets
F = 7 - C = 7 - 3 = 4 => number of first class tickets
Answer : Sarah bought 4 first class tickets and 3 coach tickets.
Verification
Replacing these values in equation 2
4*$1,150 + 3*$340 = $4,600 + $1,020 = $5620 => total budget