Three undefined terms in geometry are
1 - Point
A point has no measurement or genuine size. A point is usually named with a capital letter. In the coordinate plane, a point is represented by (x,y).
2 - Line
A line has no thickness and its length extends in one measurement and goes on in both directions forever. A line is named by a single lowercase letter or by any two points on the line.
3 - Plane
A plane has no thickness and it extends indefinitely in all directions. A plane is named by a single letter (plane x) or by three non-collinear points (plane XYZ).
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)
Yes, you are correct to use proportions because they are similar triangles.
Simplify brackets
10x - 4 = 8x + 14
Add 4 to both sides
10x = 8x + 14 + 4
Simplify 8x + 14 + 4 to 8x + 18
10x = 8x + 18
Subtract 8x from both sides
10x - 8x = 18
Simplify 10x - 8x to 2x
2x = 18
Divide both sides by 2
x = 18/2
Simplify 18/2 to 9
<u>x = 9</u>
Answer:
$8.85
Step-by-step explanation:
This a question of direct variation, so we can make out a relationship between the two factors. 12 is 2/3 of 18, so the cost of 12 would also be 2/3 of the cost of 18. We can now make an equation to solve.
