Answer:
(6,7)
Step-by-step explanation:
To translate a point, move each coordinate the specified amount and direction. Since the origin (0,0) moved to (5,4) or 5 right and 4 up, move (1,3) the same amount and direction. 1 moves right to 6. 3 moves up to 7. The new point is (6,7)
Answer:
3 feet
Step-by-step explanation:
Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...
A = (20 +2x)(50 +2x) = 1000 +140x +4x^2
The area of the pool alone is
A = (20)(50) = 1000
So, the area of the deck is the difference:
456 = (4x^2 +140x +1000) -(1000)
Dividing by 4 and subtracting 114, we have ...
x^2 +35x -114 = 0
(x -3)(x +38) = 0
Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.
The deck is 3 feet wide.
Answer:
9
Step-by-step explanation:
Answer:
equation: y = 500x + 3,000
Step-by-step explanation:
The slope is 500 because it is gaining 500 gallons of water every hour. The y-intercept is 3,000 because the pool started off with 3,000 gallons in it.
