Answer:
x^2 - 2x + 4
Step-by-step explanation:
You should have drawn1 - x-axis and y-axis in light pencil.2 - graphed a down-facing parabola with the top of the frown on the y-axis at y = 2. It should be crossing the x-axis at ±√2. This should be in dark pencil or another color.3 - In dark pencil or a completely new color, draw a rectangle with one of the horizontal sides sitting on top of the x-axis and the other horizontal side touching the parabola at each of the top corners of the rectangle. The rectangle will have half of its base in the positive x-axis and the other half on the negative x-axis. It should be split right down the middle by the y-axis. So each half of the base we will say is "x" units long. So the whole base is 2x units long (the x units to the right of the y-axis, and the x units to the left of the y-axis) I so wish I could draw you this picture... In the vertical direction, both vertical edges are the same length and we will call that y. The area that we want to maximize has a width 2x long, and a height of y tall. So A = 2xy This is the equation we want to maximize (take derivative and set it = 0), we call it the "primary equation", but we need it in one variable. This is where the "secondary equation" comes in. We need to find a way to change the area formula to all x's or all y's. Since it is constrained to having its height limited by the parabola, we could use the fact that y=2 - x2 to make the area formula in only x's. Substitute in place of the "y", "2 - x2" into the area formula. A = 2xy = 2x(2 - x2) then simplify A = 4x - 2x3 NOW you are ready to take the deriv and set it = 0 dA/dx = 4 - 6x2 0 = 4 - 6x2 6x2 = 4 x2 = 4/6 or 2/3 So x = ±√(2/3) Width remember was 2x. So the width is 2[√(2/3)]Height is y which is 2 - x2 = 2 - 2/3 =4/3
Answer:
m = 2
Step-by-step explanation:
Given:
x = 4
y = 6m - 2
a = 8
b = 5
Required:
Value of m
SOLUTION:
x and y are segments of a chord divided when it intersects another chord that also has segments a and b.
According to the Intersecting chords theorem, 
Thus:

Solve for m





The value of m = 2
Answer:
16 and 18
Step-by-step explanation:
Answer:
2 more muffins
Step-by-step explanation:
<em>Since, </em>
<u><em>Given that:</em></u>
<em>Laila made 12 Muffins</em>
<em>Shannon made 10 Muffins</em>
<u><em>Question to Answer:</em></u><em>
How many more did Laila make?</em>
<u><em>Solve:</em></u>
<em>Since it asking how many more laila made that means we have to subtract to find how many more laila has.</em>
<em>As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:</em>
<em>Laila Muffins - Shannon Muffins</em>
<em>Which also means:</em>
<em>12 - 10</em>
<em>Which,</em>
<em>12 - 10 = 2</em>
<em>Hence, Laila makes 2 more Muffins than Shannon</em>
<em />
<u><em>Kavinsky</em></u>