Answer:
0.74
Step-by-step explanation:
Well if the cubic unit is one, then we can assume that the domain is -1<0
Answer:
your answer is B 6(5.+2y)
forgive me if i am wrong
Answer:
line l: x = -1
line m: x = 6
line n: y = 4
line p: y = -2
Step-by-step explanation:
All of these lines are parallel to either to y or x axis, so the slope is either zero or undefined. This means all you have to do is set x or y equal to the x intercept or y intercept. For lines that go vertically, they always have the same x coordinate and any y coordinate you put in will make a point that is on the line. The same thing with the horizontal lines, except they all have the same y coordinate and any x coordinate will make a point that is on that line.
All you have to do is set x or y, depending on which way the line is going, equal to the point is goes through on the axis it travels through, no need to worry about slope or y = mx + b.
<span>The two points that are most distant from (-1,0) are
exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3)
approximately (0.3333333, 1.885618) and (0.3333333, -1.885618)
Rewriting to express Y as a function of X, we get
4x^2 + y^2 = 4
y^2 = 4 - 4x^2
y = +/- sqrt(4 - 4x^2)
So that indicates that the range of values for X is -1 to 1.
Also the range of values for Y is from -2 to 2.
Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis.
So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So
y = sqrt(4-4x^2)
distance is
sqrt((x + 1)^2 + sqrt(4-4x^2)^2)
=sqrt(x^2 + 2x + 1 + 4 - 4x^2)
=sqrt(-3x^2 + 2x + 5)
And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving
-3x^2 + 2x + 5
Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative.
d = -3x^2 + 2x + 5
d' = -6x + 2
And set d' to 0 and solve for x, so
0 = -6x + 2
-2 = -6x
1/3 = x
So the furthest point will be where X = 1/3. Calculate those points using (1) above.
y = +/- sqrt(4 - 4x^2)
y = +/- sqrt(4 - 4(1/3)^2)
y = +/- sqrt(4 - 4(1/9))
y = +/- sqrt(4 - 4/9)
y = +/- sqrt(3 5/9)
y = +/- sqrt(32)/sqrt(9)
y = +/- 4sqrt(2)/3
y is approximately +/- 1.885618</span>
