The term "closed" in math means that if you take two items from a set, do some operation, then you'll always get another value in the same set (sometimes you may get the same value as used before). For example, adding two whole numbers leads to another whole number. We therefore say "the set of whole numbers is closed under addition". This applies to integers as well because integers are positive and negative whole numbers. So we can say that integers are closed under addition.
Integers are not closed under division. Take two integers like 2 an 5 and divide: 2/5 = 0.4 which is not an integer. Integers don't have decimal parts.
The set of whole numbers is {0,1,2,3,...} and we can subtract the two values 1 and 2 to get 1-2 = -1. The order matters here. Subtracting a larger value from a smaller leads to a negative. The value -1 is not in the set of whole numbers. So we can say that whole numbers is not closed under subtraction
Finally, the set of irrational numbers is closed under addition. Adding any two irrational numbers leads to another irrational number. For instance, pi+sqrt(2) = 3.142 + 1.414 = 4.556; I'm using rounded decimals as approximate values. An irrational number is one where we cannot write it as a fraction of integers. Contrast that with a rational number in which we can write it as a fraction of integers. Example: 10 = 10/1 is a rational number.
A. because he had ridden less than 140 so 5s >140
Answer:
<h2>B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5</h2>
Step-by-step explanation:
<h3>Circle P.</h3>
Centerat (-1, 2).
Radius of 3.
<h3>Circle Q.</h3>
Center at (3, 4).
Radius of 5.
To carry one circle onto the other, their centers and radius must be the same.
So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.
The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.
Therefore, the right answer is B.
Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
60+30=90
Answer:
slope = 7
y-intercept= 4
Step-by-step explanation:
