<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>
7 day in a week so 3/5×7= 4.2
or 4 1/5 bales of hay
Answer:
see explanation
Step-by-step explanation:
(a)
4 × 4 = 4²
(b)
5 × 5 × 5 × 5 = 
(c)
3 × 7 × 7 × 7 × 7 = 3 × 
(d)
2 × 9 × 9 × 9 × 2 × 9 ← rearrange
= 2 × 2 × 9 × 9 × 9 × 9
= 2² × 
Take a quick peek at
brainly.com/question/10417591that's how you test for the y-axis, x-axis and origin
recall your symmetry identities, cos(- θ) = cos(θ)
so, simply replace θ for those values, and if the resultant function looks exactly like the original, then it has that symmetry.
Answer:
3(n-5)
Step-by-step explanation:
Less than indicates subtract and since 5 is less than a number <em>N</em> goes first.
Tripled goes on the outside because the number that is 5 less gets tripled
Hope this helps
