Answer:
Perimeter of ABCD = <u>56 units</u>
Perimeter of WXYZ = <u>140 units</u>
Step-by-step explanation:
<u>To find the perimeter of ABCD, find the sum of all sides</u>
18 + 18 + 10 + 10 = 56
<u>To find the side lengths of WXYZ, use the equation:</u> 
45/18 = 2.5
<em>You can also cross multiply to find the missing side lengths, but I'll show you this other way...</em>
<u>Multiply the pre-image side lengths by 2.5</u>
18 × 2.5 = 45
10 × 2.5 = 25
<em>45 and 25 of the new side length of WXYZ</em>
<em />
<u>To find the perimeter of WXYZ, find the sum of all sides.</u>
45 + 45 + 25 + 25 = 140
WX = 45, XY = 25, YZ = 45, ZW = 25
Here, we need to set up an equation. So since the two angles need to add up to 90, and x will represent the angle, the initial equation will look like this. x=90-x. When you plugin the 14, it will look like x=14(90-x) and that gives you x=1490-14x. Add the 14x to the left and it becomes 15x=1490. Divide by 15 and you get x=84. That is the first angle. Now, we subtract 84 from 90 and we get 6. therefore the angles are 84 and 6 degrees.
Hope this is clear enough.
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
1950 2,771,305
1960 4,951,560
1970 6,789,443
1980 9,746,324
1990 12,937,926
2000 15,982,378
2010 18,801,310
Sorry I couldn't find models.
You have to use the difference of 2 cubes pattern for this to cancel out the x-2. Hope this helps!!!
