I dont know what you're asking, the property? That is distributive, and the answer of the expression is 7y+35
To find the answer, take the measurement of an edge of the cube, multiply it by 6, and then square that number.
Ex:
Edge = 16
Faces in 1 cube = 6
6 * 16 = 96
96^2 (which is just 96 * 96)= 9,216
I hope this helps! :)
<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>
we know that
the speed's formula is equal to
in this problem we have
Substitute the values in the formula
therefore
<u>the answer is</u>
The relationship being proportional means there is a value of k such that
... y = k·x
We are given the point (6 (pounds), 3 (dollars)), so we can write ...
... 3 dollars = k·6 pounds
Dividing by 6 pounds, we get
... (3/6) dollars/pound = k = $0.50/lb
Now, we can use x=1 pound to find the price (y),
... y = ($0.50/lb)·(1 lb)
... y = $0.50 . . . . the price of 1 pound of tomatoes.
