Hello from MrBillDoesMath!
Answer:
The first choice, Pi + (-Pi) = 0
Discussion:
Pi is an irrational number. Saying the irrational numbers <u>are</u> closed under addition means if we add two irrational numbers we will get another irrational number. In our case, Pi + (-Pi) = 0, which is correct, BUT 0 is a <u>rational </u>number. This shows the set of irrational numbers is NOT closed under addition.
Thank you,
MrB
You can use the Angle-Side-Angle (ASA) Congruence Postulate to prove the triangles are congruent.
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.
2. Suppose x= 10
Plan Alpha: y=-7x+900=-7(10)+900=830
Plan Foxtrot: y = -17x+900 = -17(10)+900=730
Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.
3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
An integer is a whole number. Two integers are opposite if they have the same distance away from zero. For example,
2 and -2
or
28 and -28
Those are all integers and opposites.
Hope this helps :)
By Green's theorem (all the conditions are met), we have
where D is the interior of the path C, or the set
So, the line integral reduces to the double integral,
