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Answer:
D. y = ±√(25 -x²)
Step-by-step explanation:
Subtract x² and take the square root to solve for y.
x² +y² = 25 . . . . . . . given
y² = 25 -x² . . . . . . . . subtract x²
y = ±√(25 -x²) . . . . . take the square root
(3,-2) because you are just flipping the coordinate over the x axis
After 3 hours, Plane A has flown (425 mi/h)*(3 h) = 1275 mi.
After 3 hours, Plane B has flown (375 mi/h)*(3 h) = 1125 mi.
Since the distances flown are in directions that are at a right angle to each other, the Pythagorean theorem can be used to figure the separation. The distance between planes after 3 hours is
√(1275² +1125²) = √2,891,250 ≈ 1700.4
After 3 hours, Plane A is about 1700 miles from Plane B.
We have to calculate how many cubic yards of dirt must be removed. First we have to convert feet to yards:
1 yard = 3 ft
L = 94 ft : 3 = 31.33 yd
W = 36 ft : 3 = 12 yd
H = 24 ft : 3 = 8 yd
Volume:
V = L x W x H = 31.33 * 12 * 8 = 3,008 yd³
Answer : 3,008 yd³.
It’s x=5 5/7 because you don’t want the x being negative. you make the x positive and since the “-5 5/7” is negative you make it positive.