Answer: the integers that is a Pythagorean triple and are the side lengths of a right triangle is
C. 9, 40, 41
Step-by-step explanation:
A Pythagorean triple is a set of three numbers which satisfy the Pythagoras theorem. The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Let us try each set of numbers.
A. 20,23,28
28^2 = 20^ + 23^2
784 = 400 + 529 = 929
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
B. 18, 26, 44
44^2 = 18^ + 26^2
1936 = 324 + 676 = 1000
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
C. 9, 40, 41
41^2 = 9^ + 40^2
1681 = 81 + 1600 = 1681
Since both sides of the equation are equal, the set of numbers is a Pythagoras triple.
D. 8, 20, 32
32^2 = 20^ + 8^2
1024 = 400 + 64 = 464
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
Answer:
x=-1, y=9. (-1, 9).
Step-by-step explanation:
6x-y=-15
x+2y=17
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y=6x-(-15)
y=6x+15
x+2(6x+15)=17
x+12x+30=17
13x=17-30
13x=-13
x=-13/13
x=-1
-1+2y=17
2y=17-(-1)
2y=17+1
2y=18
y=18/2
y=9
Each chair cost 3 dollars and each table cost 4 dollars because 6 counted 3 times is 18and 2 counted 4 times is 24
I suppose that would just be when the numerator of the rational expression equals zero. Nothing special goes on with the graph in that case; there are simply x-intercepts at those values of x.
<span>Discontinuities are created when the denominator of the rational expression equals zero (because division by zero is undefined). Graphically, this is usually represented by a dashed vertical line indicating a vertical asymptote. </span>
Into an improper fraction. An improper fraction is a fraction where the denominator is smaller than the numerator.
Example: Mixed number: 1 2/3
Improper fraction: 5/3