Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
Answer:
I'm pretty sure it is 0.75
Step-by-step explanation:
It is a3 so that means it is the 3rd answer in the sequence.
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Answer: The answer is 16√2 cm.
Step-by-step explanation: Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.
Let 'w' represents the width of the rectangle.
Then, its length will be 3w.
Also, area of the rectangle = 24 square inches.
Therefore,

So, width = 2√2 inches and length = 6√2 inches.
Thus, perimeter of the rectangle = 4√2 + 12√2 = 16√2 cm.
Answer:6
Step-by-step explanation:
You will divide 120/20