It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
X/4 - 3
(*make sure to write the division in fraction form as shown for algebraic notation)
<span> write out all the factors of each number or draw out a factor tree
24:1,2,3,4,6,8,12,24
44:1,2,4,11,22
the GCF is the largest number in both the lists so in this case it is 4 </span>
Answer: The measure of angle A is 59 degrees.
When you have a quadrilateral inscribed in a circle the opposite sides are always supplementary (add to 180). Given the order of the vertices of our quadrilateral, we know that A and C are opposite.
Therefore, we can write and solve the following equation.
A + C = 180
A + 121 = 180
A = 59 degrees
Answer:
2310m^3
Step-by-step explanation:
base area which is the circle = πr^2
But diameter, d = 14, r = 14/2 = 7
area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154
Volume = base area × height
= 154 × 15 = 2310
