Explanation:
<h3>S + T = R</h3>
Suppose we define ...
a(x) = 2x, for 0 ≤ x ≤ 1
b(x) = x^2, for 0 ≤ x ≤ 1
Then we have the following:
c(x) = a(x) +b(x) = 2x +x^2, for 0 ≤ x ≤ 1
S = max(a(x)) = a(1) = 2
T = max(b(x)) = b(1) = 1
R = max(c(x)) = c(1) = 2 +1 = 3
This value of R satisfies S + T = R.
We note that for x=p=1, we have S = a(p), T = b(p), and R = c(p). The first attachment illustrates this case.
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<h3>S + T ≠ R</h3>
Suppose we define ...
a(x) = x, for 0 ≤ x ≤ 1
b(x) = 1 -x^2, for 0 ≤ x ≤ 1
c(x) = a(x) +b(x) = x + 1 -x^2, for 0 ≤ x ≤ 1
Then we have the following:
S = max(a(x)) = a(1) = 1
T = max(b(x)) = b(0) = 1
R = max(c(x)) = c(0.5) = 1.25 ≠ 1 + 1 = 2
This value of R does not satisfy S + T = R.
We note that for p, q, r we have S = a(p), T = b(q), R = c(r) and p≠q≠r. The second attachment illustrates this case.
Answer:
90π yd²
Step-by-step explanation:
the surface area of a cylinder is the sum of the lateral area and twice the aera of one end of the cylinder: π·d·l, where l represents the length of the cylinder. Here, the lateral surface area is π·6 yd·12 yd, or 72π yd².
The two ends add the following to the total surface area:
2·π·(d/2)², or 2π·d²/4.
Thus, the total surface area of the cyl. is
A = 2π·(6 yd)²/4 + 72π yd², or
A = 18π yd² + 72π yd² = 90π yd²
Note: Please check your source. L x W + 2pi ·r ^2 is incorrect.
Answer and Step-by-step explanation:
We are given: 18x - 2(3x + 1) = 5x - 16
First, lets distribute the -2 to the 3x and 1.
18x - 6x - 2 = 5x - 16
Now, we combine like terms.
12x - 2 = 5x - 16
Next, we add 2 to each side.
12x = 5x -14
Now, we subtract 5x from both sides.
7x = -14
Finally, we divide by 7 on both sides.
x = -2
Statements: Reasons:
18x - 2(3x + 1) = 5x - 16 Given
18x - 6x - 2 = 5x - 16 Distributive Property of Equality
12x - 2 = 5x - 16 Combine like terms
12x = 5x -14 Addition Property of Equality
7x = -14 Subtraction Property of Equality
x = -2 Division Property of Equality
#teamtrees #WAP (Water And Plant)
