Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
$39.935 is the answer I calculated, but it could very easily be wrong
First, you should graph the points. For the first number, called the X-Axis, you should to the right or left, and for the second number, called the Y-Axis, you should go up or down.
To find the distance between Point A and Point C, you should simply just count the number of intersections between them (4).
Angle B is a right angle because if the triangle is bisected at B, it will leave a right angle on either side. Therefore, to label it, you should simply just draw a line through Point B all of the way to line (A,C).
The type of triangle you have drawn is an isosceles, because it has 2 equal angles and 2 equal sides.
We know both of the sides that are unknown will be the same because the triangle is bilateral. Then, we can use the bisection we made earlier to solve for the unknown sides using Pythagorean Theorem. Since earlier, we know the entire bottom is 4, we know half of the bottom is 2. We can also see that the height of the triangle is 2. We then plug those numbers into the Pythagorean Theorem (A^2*B^2=C^2) which makes the value of C^2=16. We then take the square root of C^2 and 16 to see that both unknown sides are 4.
79.90*0.8= 63.92
Answer
63.92
