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.
Answer:
<em><u>x = 60 </u></em>
Step-by-step explanation:
<em>So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.</em>
180 - 109 = 71
<em>After that you have to add what you already have (49 degrees) with what you just found (71 degrees)</em>
49 + 71 = 120
<em>Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it. </em>
180 - 120 = 60
20 Feet long. Based on the given conditions, formulate: square root of 20 to the power of 2 +16 to the power of 2
Evaluate the equation/expression: 20
get the result: 20
Answer: 20
Answer:
26/7
Step-by-step explanation:
=
=
simplify= 26/7
9514 1404 393
Answer:
610 m²
Step-by-step explanation:
If we extend the horizontal line across the right-hand portion of the figure, then the figure is divided into two rectangles:
bottom: 5 m × 50 m = 250 m²
top: 18 m × 20 m = 360 m²
The sum of these areas is the shaded area:
shaded area = 250 m² +360 m² = 610 m²
