Rational numbers are numbers that can be expressed as a fraction (ratio). Irrational numbers can not be expressed like that (like sqrt(2)).
To prove your statement, assume the opposite until you have a contradiction.
If the result of adding them would be rational, then your irrational number can be expressed as the difference of two rational numbers, which itself is also a rational number. That cannot be, because it should be an irrational number. This contradiction forces that rational + irrational = irrational.
You can reason the same way for multiplication. Suppose rational * irrational = rational, you find that your irrational can be expressed as the fration of two rationals, which is a contradiction.
Answer:
Step-by-step explanation:
From the table attached we find,
Number of shaded triangles = 1
Area of each shaded triangle = 256 square inches
Now we can complete the table following the same pattern,
Step number Number of shaded triangles Area of the shaded triangles
0 1 256
1 3 256 × 3 = 768
2 5 256 × 5 = 1280
3 7 256 × 7 = 1792
All you have to is divide 7 by 35%
7 ÷ 35% (or 0.35) = 20
20 is your answer
Step-by-step explanation:
it's a function.
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
the domain is (1,3,7,8)
the range is (2,4,6,9)
Answer:
If Y equals 8, X is equal to 17.
If Y drops to 4, X is equal to 19.
Step-by-step explanation:
We know that the equation is 
and we want to find X when Y = 8. To do this we solve the equation for X.
17.4444 rounded to the nearest whole number is 17.
If Y drops to 4,
19.2222 rounded to the nearest whole number is 19.
