You can rewrite that as:
a^2-4ab+6ab-24b^2 then factor 1st and 2nd pair of terms.
a(a-4b)+6b(a-4b) so you have
(a+6b)(a-4b)
let's recall the graph of sin(x), is simply a sinusoidal line waving about, but its midline is at the x-axis, namely y = 0.
this equation is simply a transformation of it, the 1/2 changes the amplitude by half, midline stays the same though, the +3, moves the whole thing upwards, a vertical shift of 3, meaning the midline went from 0 to 3, y = 3.
We have to calculate the pizza´s area.
r=radius
Area (circle)=π*r²
diameter=30 cm
radius=diameter/2=30 cm/2=15 cm
Area(pizza)=π*(15 cm)²=225π cm²≈706.86 cm².
solution: 706.86 cm²
HI!
First of all, there are total 12 + 2 + 6 = 20 pairs of socks.
Probability of getting a pair of white socks the first time is 12/20.
Probability of getting a pair of gray socks without replacement, if first one was white, is 2/19
Therefore the probability t<span>hat she will take a white pair and gray pair</span> without replacement is 6/95 (I multiplied the two probabilities)
Let me know if there are any other questions!
Answer:
30% because the chance of the whole dice is 6
