about 7.5 gallons of water will fill up 1 cubic foot of space. how many gallons of water will fill a goldfish pool shaped like t
2 answers:
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Answer:
Both point are y=0. The difference between the two is that 2/3 is always decressing and 3/2 is always incressing.
Step-by-step explanation:
Answer:
The solution to the system is the pair (9, 6)
Step-by-step explanation:
Hi!
First, let´s write the system of equations:
-y² + 6y + x -9 = 0
6y = x +27
The solutions of the system are the pairs (x, y) that satisfy both equations.
Let´s take the second equation and solve it for x:
6y = x +27
Subtract 27 from both sides of the equation
6y - 27 = x
Now, we can replace x in the first equation and solve it for y:
-y² + 6y + x -9 = 0
-y² + 6y + 6y - 27 -9 = 0
-y² + 12y - 36 = 0
Notice that -y² + 12y - 36 = -(y - 6)², then:
-(y - 6)² = 0
y - 6 = 0
y = 6
(alternatively you can solve the quadratic equation using the quadratic formula).
Now let´s find the value of x:
x = 6y -27
x = 6·6 -27
x = 9
The solution to the system is the pair (9, 6)
Please see the attached figure. The point where the curves intersect is the solution to the system.
Answer:
<h2>1/4</h2>Step-by-step explanation:
Area of a circle is given as πr² and its circumference is expressed as 2πr.
If the babylonians determined the area of a circle by taking it as equal to the square of the circle’s circumference then;
Area of circle = (circumference of a circle)²
πr² = (2πr)²
πr² = 4π²r²
Dividing both sides of the equation by πr² we have;
The value of π this yields is 1/4