Answer:
25x² + 144 = (5x + 12i) (5x - 12i).
Step-by-step explanation:
We have to factorize the expression 25x² + 144, using the complex number.
Now, can be treated as the complex number as there is negative value with in square root.
So,
Therefore, we can write the original expression as
25x² + 144
= 25x² - (i²)(144)
= (5x)² - (12i)²
= (5x + 12i) (5x - 12i)
So, the factorization is 25x² + 144 = (5x + 12i) (5x - 12i). (Answer)
We must re-write the given equation in vertex form. "Vertex form" has this appearance: y-k = a(x-h)^2 (which applies to a vertical parabola).
Important: Please express "square of x" as x^2, not as x2.
We can re-write y = x^2 - 10x + 25, using "completing the square," as
y = (x-5)^2 + 0.
Multiply this out to verify that it does indeed equal x^2 - 10x + 25.
Then, in vertex form, the equation of this parabola is y - 0 = 1(x-5)^2.
The vertex (h,k) is at (5,0).
Answer:
S 67.50° W
Step-by-step explanation:
It will take jen 20 weeks till she can get a new camping tent
The area of a trapezium side is (5 + 13) /2 * 6 = 54cm2. So the area of both trapezium sides is 108cm2.
The four rectangle sides all have the same width, so they have an area of 3 * (9 + 5 + 8 + 13) = 105cm2.
So the total surface area of the figure is 213cm2!