The answer is: -4/a^2 b^2
Answer:
387 and 388
Step-by-step explanation:
775 / 2 = 387.5
387 and 388
Answer: 9000$
Step-by-step explanation:
Let 's use the formula to find the vertex of the parabola:
ax²+bx+c=0
To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are <span>A(1,1), B(0,2), and C(3,-2).
Midpoint of AB = (1/2, 3/2) - You can get the midpoint by getting the average of x-coordinates and y-coordinates.
Slope of AB = -1
Slope of perpendicular bisector = 1
</span>Equation of AB with slope 1 and the coordinates (1/2, 3/2) is
<span>y - (3/2) = (1)(x - 1/2)
</span><span>y = x+1
Do the same for AC
</span>Midpoint of AC = (2, -1/2)
Slope of AC = -3/2
Slope of perpendicular bisector = 2/3
Equation of AC with slope 2/3 and the coordinates (2, -1/2) is
y - (-1/2) = (2/3)(x - 2)
y = -11/6 + 2x/3
So <span>the perpendicular bisectors of AB and BC meet
</span>y = x+1
y = -11/6 + 2x/3
To solve for x,
(-11/6 + 2x/3) = (x+1)
x= -17/2
Now get y by substituting
y = (-17/2) + 1
y = -15/2
The circumcenter is (-17/2, -15/2)
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Answer:
3 units.
Step-by-step explanation:
We can calculate the length, since it only moves on the "x" axis, since on the "y" axis, it remains the same.
We know that between -2 to 5, there are 7 units. 2 + 5 = 7.
Therefore this would be the length.
We know that the perimeter is equal to:
p = 2 * w + 2 * l
P = 20
20 = 2 * w + 2 * 7
2 * w = 20 - 14
w = 6/2
w = 3
therefore, the width value is 3 units.