A <em>difference of squares</em> is exactly what it suggests - the difference between two perfect squares. 25 - 9, 4 - 1, x² - 25, and 125 - b² are just a few examples. Differences of squares factor very nicely, too. For any difference of squares x² - y²:
x² - y² = (x + y)(x - y)
We can see that this is true by taking the right side of the equation and distributing:
(x + y)(x - y) = (x + y) · x + (x + y) · (-y) = x² + xy - xy - y² = x² - y²
We notice in our given expression that 36 is a perfect square - namely, 6². We want the expression x² + ?x - 36 to look like x² - 6², which we can accomplish if we replace the question mark with a 0.
Answer:
The answer is D
Step-by-step explanation:
the graph has a closed circle and the arrow points to the right.
Answer:
area of triangle =1/2×perpendicular×base
35m²×2=(g-11)(g-8)
70=g(g-8)-11(g-8)
70=g²-8g-11g+88
70=g²-19g+88
0=g²-19g+88-70
0=g²-19g+18
g²-18g-g+18=0
g(g-18)-1(g-18)=0
(g-18)(g-1)=0
either
g=18
or
g=1
Step-by-step explanation:
base=18-8=10m
perpendicular=18-11=7m
Check the picture below.
they're at a 3:1 ratio, thus, 3 times.