Answer: 
Step-by-step explanation:
See the image attached, where "x" represents the height in feet of the hot air balloon.
Notice that:
To find the lenght of the side BC of the right triangle, you need to use the following Trigonometric Identity:
Observe that:
Substituting values and solving for "BC", you get:
Therefore "x" is:
2x-8y////2r+5+3r-s+11=5r+16-s////-7x+7
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.
The answer is b because it has the 3 with 6 corresponding.<span />
Answer:
2 1/2
Step-by-step explanation:
5/8 ÷ 1/4
Copy dot flip
5/8 * 4/1
Rewrite
5/1 * 4/8
5/1 * 1/2
5/2
Change to a mixed number
2 1/2
