A) by completing the square... X^2-8x+16+20-16 = (x^2-4)^2 +20-16=(x^2-4)+4
B) Since the coefficient of x^2 is positive, it is a quadratic function which increases positively. You know that it will always be above the x axis and therefore positive since the vertex is at (4,4) and increasing
Answer attached as picture with explanation. Please check.
<em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>e</em><em>d</em><em> </em><em>b</em><em>y</em><em> </em><em>B</em><em>e</em><em>n</em><em>j</em><em>e</em><em>m</em><em>i</em><em>n</em>
C. 40
30x30=900
40x40=1600
total of 2500 take the square root and your left with 50 so everything balances out
So distributive=ab+ac=a(b+c)
so
find the gcf of 4 and 12
4=2 time 2
12=2 times 2 times \3
the gcf is 2 times 2 =4
4(d+3e)