Answer:
109th value is 760
Step-by-step explanation:
the nth term rule is 7n-3
7×109=763
763-3=760
A Pythagorean triple is a set of thre integer numbers, a, b and c that meet the Pythgorean theorem a^2 + b^2 = c^2
Use Euclide's formula for generating Pythagorean triples.
This formula states that given two arbitrary different integers, x and y, both greater than zero, then the following numbers a, b, c form a Pythagorean triple:
a = x^2 - y^2
b = 2xy
c = x^2 + y^2.
From a = x^2 - y^2, you need that x > y, then you can discard options A and D.
Now you have to probe the other options.
Start with option B, x = 4, y = 3
a = x^2 - y^2 = 4^2 - 3^2 = 16 -9 = 7
b = 2xy = 2(4)(3) = 24
c = x^2 9 y^2 = 4^2 + 3^2 = 16 + 9 = 25
Then we could generate the Pythagorean triple (7, 24, 25) with x = 4 and y =3.
If you want, you can check that a^2 + b^2 = c^2; i.e. 7^2 + 24^2 = 25^2
The answer is the option B. x = 4, y = 3
Answer:
$58.25
Step-by-step explanation:
142.20 - 24.50 = 117.50
117.50 / 2 = 58.25
$32.58 x 20% (0.2) = 6.156
Just round it and you get $6.16
Answer:
True
Step-by-step explanation:
So the radius would be 5 (as you times it by 2 to get 10)
Therefore
2a=10 is the same as what the circle with diameter d=2r=10