The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
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Answer:
m∠DEF = 50
Step-by-step explanation:
∠DEG = ∠GEF
3y + 4 = 5y - 10
subtract 4 from both sides
3y = 5y - 14
subtract 5y from both sides
-2y = -14
divide by -2
y = 7
Add 7 into the equations:
3y + 4 + 5y - 10
3(7) + 4 + 5(7) - 10
21 + 4 + 35 - 10
25 + 25
50
5 mph to get that answer you use the speed equation
speed(mph)=distance(in miles)/time(in hours)
2.5
------ = 5 mph
.5
Answer:
1
Step-by-step explanation:
Anything to the power of 0 equals 1
Answer: A right triangle.
Step-by-step explanation:
This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.
