Step-by-step explanation:

Answer:
7√2 or approx. 9.89949
Step-by-step explanation:
distance between two points is
d=√(∆x^2+∆y^2)
where...
d is distance
∆x is change in x value
and ∆y is change in y value
In this problem ∆x=(-3)-4=(-7)
∆y=5-(-2)=7
plugging in those values gives us
d=√((-7)^2+7^2)
Solving this expression gives us
d=√(49+49)=√98
After simplifying the radical we are left with 7√2 or about 9.89949.
Answer:

Step-by-step explanation:
The zeros of the polynomial are all the values of x for which the function 
In this case we know that the zeros are:


, 
Now we can write the polynomial as a product of its factors

Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3
Title:
<h2>The required probability is

.</h2>
Step-by-step explanation:
In the urn, there are total (7 + 8 + 9) = 24 balls.
We are taking 10 balls out of the urn with replacement.
In each tern, we have overall 10 choices to chose 1 ball.
If we <u>want to get a green</u>, there are 7 choices each time.
Similarly, 8 choices each time for getting a red and 9 choices each time for getting a yellow ball.
The probability of getting green 2 times, red 3 times, and yellow 5 times is
.