1=7 3=21 5=35 7=49 13=91 hope this helps :)
I think it is the associative property of Addition
Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
Answer:
The corresponding sides have the same slope so the answer is QR and MN, SR and PN and MP and QS. Hope this helps!
Answer:
28 inches
Step-by-step explanation:
To begin, the area of a rectangle is base · height. Since we are given one of the sides already, you can make an equation to solve for the other value.
5 · x = 45
5x = 45
x = 9
A rectangle has two pairs of parallel sides, or in easier terms, two sets of sides that are the same. So, the perimeter is going to be two lengths plus two widths.
2 · 5 + 9 · 2 = 10 + 14 = 28
