Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to find a right triangle with leg lengths of 16 and an odd number.

Answers

Answer 1

Answer: Hi,
2xy is even ==>2xy=16==>xy=8 ==>(x=8 and y=1) or (x=4 and y=2)
1) if x=4 and y=2 thenx²=16 and y²=4 x²+y²=16+4=20 is not oddx²-y² =16-4=12 is not also odd: impossible
2) if x=8 and y=1 thenx²=64, y²=1x²+y²=64+1= 65 possiblex²-y²=64-1=63The triple is (63,5,65) and 63²+5²=65²

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The probability that a city bus is ready for service when needed is 77%. The probability that a city bus is ready for service and has a working radio is 65%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. (Hint: Divide)

Answers

Answer:

0.84

Step-by-step explanation:

Let the probability that a city bus is ready for service when needed is represented as P(ready)=77%=0.77

Let the probability that a city bus is ready for service and has a working radio be represented as P(ready and radio)=65%=0.65

probabilty that it has a working radio given that it is ready for service =

P(radio and ready)=P(ready and radio) ÷ P(ready)

=0.65÷0.77=0.84416

≈0.84 to the nearest tenth

Please help me! this is timed!

Answers

Answer:

Step-by-step explanation:

1. f(-2) = 6 * 1/3^-2

f(-2) = 6 * 9

f(-2) = 54

2. y = -3 * 4^3

y = -3 x 64

y = -192

3. f(4) = 1/4 * 2^4

f(4) = 1/4 * 16

f(4) = 4

Let me know if I am right!

The Jung family travels 300 km to a relative's home. The distance, d, in kilometres, varies directly with the time, t, in hours. a) Find an equation relating d and t if d=144 when t=1.5. What does the constant of variation represent?

b) Use the equation to determine how long it will take the Jungs to reach their destination.

Answers

The distance, d, in kilometers, varies directly with the time, t, in hours.

d = Kt
K is the constant of proportionality .

K = d/t

a) K = 144/1.5
= 96 Km/h
K shows the speed.

b) t = d/K
= 300/96
t = 3.125 hours

Find the product mentally. (ab + 3)2

Answers

(ab+3)(2) =(ab+3)(2) =(ab)(2)+(3)(2) =2ab+6

Answer:

a^2b^2 + 6ab + 9

What is the value of x? 2/3(x-6)=6

Answers

Answer: x=15

Step-by-step explanation: THIS IS THE CORRECT ANSWER

Evaluate 16/2x8+3^2 A:7 B:10 C:70 D:73

Answers

If you would like to solve 16/2*8 + 3^2, you can do this using the following steps:

16/2*8 + 3^2 = 8*8 + 9 = 64 + 9 = 73

The correct result would be D: 73.

Answer:

It is 73

Step-by-step explanation:

Hope this helped

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