To simplify i^82, divide 82 by. the answer is 20 with remainder 2
Trick question — it’s a right triangle. Here’s why:
23 + 67 = 90. All triangles have an interior angle sum of 180. 180 - 90 = 90. 90 degrees is right, and therefore, having a right angle, this is a right triangle.
The first equation can be written as:
2x = 5 + 3y
Substituting the second equation into the first equation and rearranging:
-4y - 16 = 5 + 3y
-21 = 7y
y = -3
Substituting y = -3 into the second equation:
x = -2(-3) - 8
x = -2
Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
