Clara needs $52 to go on a field trip. She has saved $16.50. She earns $6.50 per hour cleaning her neighbor's garden, and she ea
rns $5.25 per hour selling cakes at a store. Can Clara go on the field trip if she works at the garden for 4 hours and at the store for 2 hours?
[Use the inequality 6.50x + 5.25y + 16.50 ≥ 52]
Yes, because the total will be $53
Yes, because the total will be $59
No, because the total will be $42
No, because the total will be $49
[Use the inequality 6.50x + 5.25y + 16.50 ≥ 52]
Yes, because the total will be $53
Yes, because the total will be $59
No, because the total will be $42
No, because the total will be $49
1 answer:
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
