Answer:
x^2+16x+64 is a perfect square
that is (x+a)^2=x^2+2ax+a^2
compare the coefficients of the x term
--> 2a=16 --> a=8
---> x^2+16a+64=(x+8)^2
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Answer:
Step-by-step explanation:
If we assume that initially
Number of red counter is 1
Number of blue counter is 3
Now to make ratio reverse you need to add 8 more red counters so that ratio becomes
9:3=3:1
-4 isn't a real number because there is no square root of -4. However, there is a cube root of -8, because -2 * -2 * -2 = -8.
We have to calculate the perimeter of the figure to the nearest tenth of a millimeter. This figure is made of a rectangle and a half of a circle. The first figure has the perimeter: 3 + 6 + 3 = 12 mm. The second figure has the perimeter: 2 * Pi * r / 2 = Pi * r ; and the radius : r = 6/2 = 3 mm. So Pi * 3 = 3.14 * 3 = 9.42. Fimally : 12 + 9.42 = 21.42 or 21.4 to the nearest tenth. Answer: C. 21.4 millimeters<span>. </span>