First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
Answer:
Step-by-step explanation:
Since, angle subtended on the center of the circle is twice the angle subtended on the circumference of the circle.
Answer:
32 nd term
Step-by-step explanation:
The formula for the sequence is
n² + 1 ( that is 1 added to each square number )
Equate to 1025 and solve for n
n² + 1 = 1025 ( subtract 1 from each side )
n² = 1024 ( take the square root of both sides )
n = 
= 32
Answer:
Concert Specialties is the better buy
Step-by-step explanation:
In order to determine which of the two deals is the better buy, we first need to find out how many of each pack we would need to get the needed 12 tickets. Once we have this value we multiply it by the dollar amount of each pack and compare the totals like so...
Concert Specialties => pack of 3 * 4 = 12 tickets => 4 * 75 = $300
We 'R' Entertainment => pack of 4 * 3 = 12 tickets => 3 * 108 = $324
Therefore, we can now see that the Concert Specialties is the better buy since you are getting the 12 tickets for $24 less than We 'R' Entertainment
Let the equal sides of the isosceles Δ ABC be x.
Given that the perimeter of Δ ABC = 50m.
Therefore, 2x + AC = 50 --- (1)
It is also given that the perimeter of Δ ABD = 40m.
Therefore, x + BD + AD = 40
BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.
So AD = CD.
Or, AD = 
AC
Therefore, 
Multiply both sides by 2.
2x + 2BD + AC = 80
From (1), 2x + AC = 50.
Therefore, 2BD + 50 = 80
2BD = 80 - 50
2BD = 30
BD = 15m.
