X = 6 cos(t)
y = 3 sin(t)
we can rewrite these equations as:
Taking squares of both equations we get:
Adding both the equations, we get:
I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:
-c^2-4c+21
From here, we’ll factor out a -1 so that we have:
-(c^2+4c-21)
Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:
(c + (-3))(c + 7)
(c - 3)(c + 7)
And adding back on the negative from a few steps earlier:
-(c - 3)(c + 7)
Assume that adult have IQ scores<span> that are </span>normally distributed<span> with a </span>mean<span> of </span>100<span> ... of </span>15<span>, Find the probability that a randomly selected adult </span>has<span> an </span>IQ<span> that is less ... </span>mean<span> of </span>100<span> and a </span>standard deviation<span>of </span>15<span>. Find the </span>IQ score<span> separating the top ... The Beanstalk Club, a social organization for tall </span>people,has<span> a requirement ...</span>
Answer:
2108
Step-by-step explanation:
Divide 67,456 by 32, using long division.
1) How many times 32 go into 67? (2 times, with a remainder of 3)
2) Bring down the 4.
3) How many times does 32 go into 34? (1 time, with a remainder of 2)
4) Bring down the 5
5) How many times does 32 go into 25? (0 times, so write 0)
6) Bring down the 6.
7) How many times does 32 go into 256? ( 8 times, no remainder)
8) Your answer is 2108
It's different because they have 2 different numbers<span />
