I believe the correct answer is B. It is the polynomial x^2 – 9x – 18 that is a prime polynomial. Other options can be factored out to a number under the real number system while option B cannot give a whole number. The factors are as follows:
<span>A.) x2 – 7x – 18 9 and -2
B.) x2 – 9x – 18 10.68465844 and -1.684658438
C.)x2 + 3x – 18 3 and -6
D.)x2 + 17x – 18 1 and -18</span>
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) =
=
=
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) =
=
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) =
sin(Z) =
Picture 4
In right triangle DEF,
Cos(D) =
=
=
=
Picture 5
In ΔABC,
tan(63°) =
tan(63°) =
AB =
AB =
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
The answer to the question is 5.
The median for that is 5.