Because of the symmetry, we can just go from x=0 to x=2 to find the area between
<span>y = x^2 and y = 4 </span>
<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>
<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>
<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
To simplify with exponents, don't feel like you have to work only with, or straight from, the rules for exponents. It is often simpler to work directly from the definition and meaning of exponents. Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Given the 2 equations
x + y = 3 → (1)
3x - y = 1 → (2)
Adding the 2 equations term by term will eliminate the term in y
4x = 4 ( divide both sides by 4)
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
1 + y = 3 ( subtract 1 from both sides )
y = 2
Solution is (1, 2 ) → c
Answer:
We can conclude that someone used more tiles then the other because both equations are not equal.
Step-by-step explanation:
If you try to solve it both equations will not be shown as equal.
