The Binomial Theorem is a quick way (okay, it's a less slow way) of expanding (or multiplying out) a binomial expression that has been raised to some (generally inconveniently large) power. For instance, the expression <span>(3x – 2)10</span><span> would be very painful to multiply out by hand. Thankfully, somebody figured out a formula for this expansion, and we can plug the binomial </span><span>3x – 2</span><span>and the power </span>10<span> into that formula to get that expanded (multiplied-out) form.</span>
The formal expression of the Binomial Theorem is as follows:
Answer:
25%.
Step-by-step explanation:
First, let's find the area of both circles. The area of a circle is given by:
The radius of the smaller circle is one. Thus, its area is:
The radius of the larger circle is two. Thus, its area is:
The probability that a random point chosen will be inside the small circle will be the area of the small circle over the total area. Hence:
The probability of a random point being in the small circle is 25%.
Add the coefficients of like terms.
a) (6x³ +8x² -2x +4) + (10x³ +x² +11x +9)
= (6+10)x³ + (8+1)x² + (-2+11)x + (4+9)
= 16x³ +9x² +9x +13
b) (16x³ +9x² +9x +13) + (3x -2)
= 16x³ +9x² + (9+3)x + (13-2)
= 16x³ +9x² +12x +11
There are no answers here, but the slope of the line in that equation is -12. So the slope of the line that is parallel will also have a slope of -12 since parallel lines always have the same slope.
Answer:
I think the first two are right
