We are given with two equations bearing a square root sign within. In this case, the goal of f(x) is to have a value of x not greater than 1 and not less than -1. g(x) should have x only equal to positive numbers. Hence the domain for (f+g) is equal to the positive numbers greater than or equal to 1.in 2. we multiply both functions to give sqrt of x*(1-x2). the domain should be also positive numbers greater than or equal to 1.
Answer:
Step-by-step explanation:
A quadratic in factored form is usually expressed as: 
where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: 
. Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)
I'll use the point (1, -4) the vertex
-4 = a(1+1)(1-3)
-4 = a(2)(-2)
-4 = -4a
1 = a. So yeah the value of a is 1
So the equation is just:
Answer:
B is your answer to this question.
Step-by-step explanation:
The triangle spilts into two 45-45-90 triangle. Because of that, the short leg and long leg with be the same length. It gives the hypotenuse, 10. Divided 10 by √2 which is 5 √2. The length of CD is 5 √2
