Answer:
x^2 - 9
Step-by-step explanation:
length = 2x - 6 = 2(x-3)
Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9
Simplify 9i(2+3i):
9i×2=18i
9i×3i=27i
18i+27i
Answer: 10,985 students
Step-by-step explanation:
You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:
Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years
Number of years = 2010 - 1995 = 15 years
Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵
= 10,985 students
For problem 2, you are correct in stating that a curve forms. Specifically, if we were to trace along the outer edge of the shape, then we'd form a <u>parabola</u> that has been tilted 45 degrees compared to the more familiar form that students are taught (where the axis of symmetry is vertical).
For more information, search out "Tangent method for parabolas". As the name implies, the tangent method draws out the tangents of the parabola which helps form the parabola itself.
Everything else on your paper is correct. You have problem 1 correct, and the table is filled out perfectly. Nice work.
