Answer: D,(11,61,62)
Step-by-step explanation:28,45,53
53²=28²+45²
2,809= 784+2,025
= 2,809
53²=2,809
(28,45,53) is a Pythagorean triple
16,63,65
65²=16²+63²
4225=256+3969
= 4225
65²=4225
(16,63,65) is a Pythagorean triple
13,84,85
85²=13²+84²
7225=169+7056
=7225
85²=7225
(13,84,85) is a Pythagorean triple
11,61,62
62²=11²+61²
3,844=121+3,721
=3,842
62²=3,844
(11,61,62) is not a Pythagorean triple
Answer:
Equals to 0.384 seconds (round if needed)
Step-by-step explanation:
10 / 26 = 0.384615385
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
4/10 for brown Percent: 40% Decimal : 0.4
3/10 for green Percent: 30% Decimal:0.3
2/10 for red Percent: 20% Decimal: 0.2